. . "A renormaliza\u00E7\u00E3o \u00E9 um conjunto de t\u00E9cnicas utilizadas para eliminar os infinitos que aparecem em alguns c\u00E1lculos em Teoria Qu\u00E2ntica de Campos. Na mec\u00E2nica estat\u00EDstica dos campos e na teoria de estruturas geom\u00E9tricas auto-similares, a renormaliza\u00E7\u00E3o \u00E9 usada para lidar com os infinitos que surgem nas quantidades calculadas, alterando valores dessas quantidades para compensar os efeitos das suas auto-intera\u00E7\u00F5es. Inicialmente vista como um procedimento suspeito e provis\u00F3rio por alguns de seus criadores, a renormaliza\u00E7\u00E3o foi posteriormente considerada uma ferramenta importante e auto-consistente em v\u00E1rios campos da f\u00EDsica e da matem\u00E1tica. A renormaliza\u00E7\u00E3o \u00E9 distinta da outra t\u00E9cnica para controlar os infinitos, regulariza\u00E7\u00E3o, que assume a exist\u00EAncia de uma nova f\u00EDsica desconhecida em novas esca"@pt . "\u0627\u0633\u062A\u0628\u062F\u0627\u0644 \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u0646\u0627\u0647\u064A \u0627\u0633\u062A\u0628\u062F\u0627\u0644 \u0627\u0644\u0645\u062A\u063A\u064A\u0631\u0627\u062A \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u0646\u0627\u0647\u064A\u0629 \u0645\u0646 \u0627\u0644\u0646\u0627\u062D\u064A\u0629 \u0627\u0644\u0646\u0638\u0631\u064A\u0629 (\u0645\u062B\u0644 \u0627\u0644\u0643\u062A\u0644\u0629 \u0648\u0634\u062D\u0646\u0629 \u0627\u0644\u0625\u0644\u0643\u062A\u0631\u0648\u0646) \u0628\u0645\u0627 \u062D\u0635\u0644\u0646\u0627 \u0639\u0644\u064A\u0647 \u062A\u062C\u0631\u064A\u0628\u064A\u0627\u064B \u0645\u0646 \u0627\u0644\u0642\u064A\u0645 \u0641\u064A \u062D\u0644\u0648\u0644 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0641\u064A \u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064A\u0627\u062A \u0627\u0644\u0645\u064A\u0643\u0627\u0646\u064A\u0643\u064A\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064A\u0629 (\u0645\u062B\u0644 \u0627\u0644\u062F\u064A\u0646\u0627\u0645\u064A\u0643\u0627 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064A\u0629 \u0627\u0644\u0643\u0645\u064A\u0629)."@ar . . . "Unter Renormierung einer Feldtheorie versteht man die Festlegung einer Energieskala, in Bezug auf welche die Theorie formuliert wird."@de . "Pr\u00F3iseas matamaitici\u00FAil a \u00FAs\u00E1idtear i dteoiric\u00ED r\u00E9ims\u00ED candamacha chun tortha\u00ED \u00E9igr\u00EDochta in \u00E1irimh a sheachaint tr\u00ED na cainn\u00EDochta\u00ED bun\u00FAsacha, cos\u00FAil le mais is lucht, a athshainmh\u00EDn\u00EDu. Meastar gur r\u00E9amhriachtanas teoirice \u00E1isi\u00FAla an g\u00E1 le hathnormal\u00FA, rud a l\u00E9ir\u00EDtear i leictridinimic chandamach, mar shampla."@ga . "Renormumo"@eo . . . . . . . . . . "InternetArchiveBot"@en . . . . . . . . . . "Renormering"@sv . . . . . . . "Unter Renormierung einer Feldtheorie versteht man die Festlegung einer Energieskala, in Bezug auf welche die Theorie formuliert wird."@de . . . . . . "Renormering \u00E4r en upps\u00E4ttning tekniker som anv\u00E4nds inom f\u00E4ltteorier f\u00F6r att best\u00E4mma rumtid/(energi)konstanter som teorin sedan baserar p\u00E5. Den anv\u00E4nds inom kvantf\u00E4ltteori statistisk mekanik och teorin f\u00F6r sj\u00E4lvliknande geometriska strukturer. Renormering kan enkelt beskrivas som att man betraktar enstaka partiklar p\u00E5 \"lite avst\u00E5nd\". Man beh\u00F6ver inte ta h\u00E4nsyn till kortlivade par av partiklar och antipartiklar, som \u00E4r virtuella och som uppst\u00E5r spontant enligt kvantteorin. Ist\u00E4llet studerar man \"molnet\" av partiklarna, vilket g\u00F6r att man f\u00E5r en ny laddning och en ny massa."@sv . . . "\u7E70\u308A\u8FBC\u307F\uFF08\u304F\u308A\u3053\u307F\u3001\u30A2\u30E1\u30EA\u30AB\u82F1\u8A9E\uFF1ARenormalization \u30A4\u30AE\u30EA\u30B9\u7B49\u82F1\u8A9E\u53CA\u3073\u30D5\u30E9\u30F3\u30B9\u8A9E\uFF1ARenormalisation \uFF09\u3068\u306F\u3001\u5834\u306E\u91CF\u5B50\u8AD6\u3067\u4F7F\u308F\u308C\u308B\u3001\u8A08\u7B97\u7D50\u679C\u304C\u7121\u9650\u5927\u306B\u767A\u6563\u3057\u3066\u3057\u307E\u3046\u306E\u3092\u9632\u3050\u6570\u5B66\u7684\u306A\u6280\u6CD5\u3067\u3042\u308A\u3001\u540C\u6642\u306B\u5834\u306E\u91CF\u5B50\u8AD6\u304C\u6E80\u305F\u3059\u3079\u304D\u6700\u91CD\u8981\u306A\u539F\u7406\u306E\u3072\u3068\u3064\u3067\u3082\u3042\u308B\u3002 \u304F\u308A\u3053\u307F\u306B\u3088\u308A\u3001\u5834\u306E\u91CF\u5B50\u8AD6\u3092\u96FB\u78C1\u76F8\u4E92\u4F5C\u7528\u306B\u9069\u7528\u3057\u305F\u91CF\u5B50\u96FB\u78C1\u529B\u5B66\u304C\u5B8C\u6210\u3057\u305F\u3002\u5834\u306E\u91CF\u5B50\u8AD6\u306B\u304F\u308A\u3053\u307F\u3092\u7528\u3044\u308B\u65B9\u6CD5\u306F\u3001\u4EE5\u5F8C\u306E\u91CF\u5B50\u8272\u529B\u5B66\u304A\u3088\u3073\u30EF\u30A4\u30F3\u30D0\u30FC\u30B0\u30FB\u30B5\u30E9\u30E0\u7406\u8AD6\u3092\u69CB\u7BC9\u3059\u308B\u969B\u306E\u898F\u7BC4\u3068\u306A\u308B\u3002"@ja . . . . "Athnormal\u00FA"@ga . . . . . . "\u0627\u0633\u062A\u0628\u062F\u0627\u0644 \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u0646\u0627\u0647\u064A \u0627\u0633\u062A\u0628\u062F\u0627\u0644 \u0627\u0644\u0645\u062A\u063A\u064A\u0631\u0627\u062A \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u0646\u0627\u0647\u064A\u0629 \u0645\u0646 \u0627\u0644\u0646\u0627\u062D\u064A\u0629 \u0627\u0644\u0646\u0638\u0631\u064A\u0629 (\u0645\u062B\u0644 \u0627\u0644\u0643\u062A\u0644\u0629 \u0648\u0634\u062D\u0646\u0629 \u0627\u0644\u0625\u0644\u0643\u062A\u0631\u0648\u0646) \u0628\u0645\u0627 \u062D\u0635\u0644\u0646\u0627 \u0639\u0644\u064A\u0647 \u062A\u062C\u0631\u064A\u0628\u064A\u0627\u064B \u0645\u0646 \u0627\u0644\u0642\u064A\u0645 \u0641\u064A \u062D\u0644\u0648\u0644 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0641\u064A \u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064A\u0627\u062A \u0627\u0644\u0645\u064A\u0643\u0627\u0646\u064A\u0643\u064A\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064A\u0629 (\u0645\u062B\u0644 \u0627\u0644\u062F\u064A\u0646\u0627\u0645\u064A\u0643\u0627 \u0627\u0644\u0643\u0647\u0631\u0628\u0627\u0626\u064A\u0629 \u0627\u0644\u0643\u0645\u064A\u0629)."@ar . . . "Renormalizacja \u2013 grupowanie modeli fizycznych w r\u00F3wnowa\u017Cne sobie postacie. W ramach takiej procedury, uk\u0142ad fizyczny, opisywany r\u00F3wnaniami zawieraj\u0105cymi skomplikowane oddzia\u0142ywania reprezentowane przez cz\u0142ony nieliniowe, mo\u017Ce zosta\u0107 sklasyfikowany do tej samej klasy, co inny uk\u0142ad, czasem liniowy lub ten sam uk\u0142ad, ale dla innych warto\u015Bci tzw. sta\u0142ych sprz\u0119\u017Cenia, odpowiadaj\u0105cych za \u201Esi\u0142\u0119\u201D wyraz\u00F3w nieliniowych. Innymi s\u0142owy przechodzimy z jednego modelu o ustalonych warto\u015Bciach parametr\u00F3w w r\u00F3wnaniach do innego modelu o innych warto\u015Bciach parametr\u00F3w. Technika grupy renormalizacji pozwala oceni\u0107, kiedy takie przej\u015Bcie jest w\u0142a\u015Bciwe, oraz cz\u0119sto pozwala uzyska\u0107 znaczne uproszczenie opisu."@pl . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u2014 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u0440\u043E\u0446\u0435\u0434\u0443\u0440\u0430, \u0449\u043E \u0437\u0430\u0441\u0442\u043E\u0441\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u0456\u0439 \u0435\u043B\u0435\u043A\u0442\u0440\u043E\u0434\u0438\u043D\u0430\u043C\u0456\u0446\u0456 \u0442\u0430 \u0456\u043D\u0448\u0438\u0445 \u043E\u0431\u043B\u0430\u0441\u0442\u044F\u0445 \u0442\u0435\u043E\u0440\u0435\u0442\u0438\u0447\u043D\u043E\u0457 \u0444\u0456\u0437\u0438\u043A\u0438 \u0434\u043B\u044F \u0443\u043D\u0438\u043A\u043D\u0435\u043D\u043D\u044F \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u0440\u043E\u0437\u0431\u0456\u0436\u043D\u043E\u0441\u0442\u0456 \u0440\u044F\u0434\u0456\u0432 \u0442\u0430 \u043D\u0435\u0432\u043B\u0430\u0441\u043D\u0438\u0445 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u0456\u0432. \u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u0437\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u0434\u043E \u0434\u043E\u043F\u0438\u0441\u0443\u0432\u0430\u043D\u043D\u044F \u0443 \u0432\u0438\u0445\u0456\u0434\u043D\u0443 \u0444\u0443\u043D\u043A\u0446\u0456\u044E \u041B\u0430\u0433\u0440\u0430\u043D\u0436\u0430 \u043F\u0435\u0432\u043D\u043E\u0433\u043E \u0447\u0438\u0441\u043B\u0430 \u043A\u043E\u043D\u0442\u0440\u0447\u043B\u0435\u043D\u0456\u0432 \u0456\u0437 \u043F\u0435\u0432\u043D\u0438\u043C\u0438 \u0441\u0442\u0430\u043B\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0434 \u043D\u0438\u043C\u0438. \u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u0446\u0438\u0445 \u0441\u0442\u0430\u043B\u0438\u0445 \u0437\u043D\u0430\u0445\u043E\u0434\u044F\u0442\u044C\u0441\u044F \u0456\u0437 \u0442\u0456\u0454\u0457 \u0443\u043C\u043E\u0432\u0438, \u0449\u043E\u0431 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u0438 \u0437\u0431\u0456\u0433\u0430\u043B\u0438\u0441\u044F. \u0417 \u0444\u0456\u0437\u0438\u0447\u043D\u043E\u0457 \u0442\u043E\u0447\u043A\u0438 \u0437\u043E\u0440\u0443 \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u0437\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u0434\u043E \u0437\u0430\u043C\u0456\u043D\u0438 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432 \u0441\u0438\u0441\u0442\u0435\u043C\u0438, \u0442\u0430\u043A\u0438\u0445 \u044F\u043A \u0437\u0430\u0440\u044F\u0434 \u0442\u0430 \u043C\u0430\u0441\u0430 \u0447\u0430\u0441\u0442\u0438\u043D\u043E\u043A, \u043D\u0430 \u0456\u043D\u0448\u0456 \u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F. \u041D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, \u043C\u0430\u0441\u0430 \u0447\u0430\u0441\u0442\u0438\u043D\u043A\u0438 \u0441\u0442\u0430\u0454 \u0456\u043D\u0448\u043E\u044E \u0437\u0430\u0432\u0434\u044F\u043A\u0438 \u0432\u0437\u0430\u0454\u043C\u043E\u0434\u0456\u0457 \u0456\u0437 \u0441\u0442\u0432\u043E\u0440\u0435\u043D\u0438\u043C \u043D\u0435\u044E \u0436 \u0435\u043B\u0435\u043A\u0442\u0440\u043E\u043C\u0430\u0433\u043D\u0456\u0442\u043D\u0438\u043C \u043F\u043E\u043B\u0435\u043C."@uk . . . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u2014 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u0440\u043E\u0446\u0435\u0434\u0443\u0440\u0430, \u0449\u043E \u0437\u0430\u0441\u0442\u043E\u0441\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u0456\u0439 \u0435\u043B\u0435\u043A\u0442\u0440\u043E\u0434\u0438\u043D\u0430\u043C\u0456\u0446\u0456 \u0442\u0430 \u0456\u043D\u0448\u0438\u0445 \u043E\u0431\u043B\u0430\u0441\u0442\u044F\u0445 \u0442\u0435\u043E\u0440\u0435\u0442\u0438\u0447\u043D\u043E\u0457 \u0444\u0456\u0437\u0438\u043A\u0438 \u0434\u043B\u044F \u0443\u043D\u0438\u043A\u043D\u0435\u043D\u043D\u044F \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u0440\u043E\u0437\u0431\u0456\u0436\u043D\u043E\u0441\u0442\u0456 \u0440\u044F\u0434\u0456\u0432 \u0442\u0430 \u043D\u0435\u0432\u043B\u0430\u0441\u043D\u0438\u0445 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u0456\u0432. \u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u0437\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u0434\u043E \u0434\u043E\u043F\u0438\u0441\u0443\u0432\u0430\u043D\u043D\u044F \u0443 \u0432\u0438\u0445\u0456\u0434\u043D\u0443 \u0444\u0443\u043D\u043A\u0446\u0456\u044E \u041B\u0430\u0433\u0440\u0430\u043D\u0436\u0430 \u043F\u0435\u0432\u043D\u043E\u0433\u043E \u0447\u0438\u0441\u043B\u0430 \u043A\u043E\u043D\u0442\u0440\u0447\u043B\u0435\u043D\u0456\u0432 \u0456\u0437 \u043F\u0435\u0432\u043D\u0438\u043C\u0438 \u0441\u0442\u0430\u043B\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0434 \u043D\u0438\u043C\u0438. \u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u0446\u0438\u0445 \u0441\u0442\u0430\u043B\u0438\u0445 \u0437\u043D\u0430\u0445\u043E\u0434\u044F\u0442\u044C\u0441\u044F \u0456\u0437 \u0442\u0456\u0454\u0457 \u0443\u043C\u043E\u0432\u0438, \u0449\u043E\u0431 \u0456\u043D\u0442\u0435\u0433\u0440\u0430\u043B\u0438 \u0437\u0431\u0456\u0433\u0430\u043B\u0438\u0441\u044F. \u0417 \u0444\u0456\u0437\u0438\u0447\u043D\u043E\u0457 \u0442\u043E\u0447\u043A\u0438 \u0437\u043E\u0440\u0443 \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F \u0437\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u0434\u043E \u0437\u0430\u043C\u0456\u043D\u0438 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432 \u0441\u0438\u0441\u0442\u0435\u043C\u0438, \u0442\u0430\u043A\u0438\u0445 \u044F\u043A \u0437\u0430\u0440\u044F\u0434 \u0442\u0430 \u043C\u0430\u0441\u0430 \u0447\u0430\u0441\u0442\u0438\u043D\u043E\u043A, \u043D\u0430 \u0456\u043D\u0448\u0456 \u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F. \u041D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, \u043C\u0430\u0441\u0430 \u0447\u0430\u0441\u0442\u0438\u043D\u043A\u0438 \u0441\u0442\u0430\u0454 \u0456\u043D\u0448\u043E\u044E \u0437\u0430\u0432\u0434\u044F\u043A\u0438 \u0432\u0437\u0430\u0454\u043C\u043E\u0434\u0456\u0457 \u0456\u0437 \u0441\u0442\u0432\u043E\u0440\u0435\u043D\u0438\u043C \u043D\u0435\u044E \u0436 \u0435\u043B\u0435\u043A\u0442\u0440\u043E\u043C\u0430\u0433\u043D\u0456\u0442\u043D\u0438\u043C \u043F\u043E\u043B\u0435\u043C."@uk . . . . . . . . . . . . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0443\u0432\u0430\u043D\u043D\u044F"@uk . "Renormierung"@de . . "A renormaliza\u00E7\u00E3o \u00E9 um conjunto de t\u00E9cnicas utilizadas para eliminar os infinitos que aparecem em alguns c\u00E1lculos em Teoria Qu\u00E2ntica de Campos. Na mec\u00E2nica estat\u00EDstica dos campos e na teoria de estruturas geom\u00E9tricas auto-similares, a renormaliza\u00E7\u00E3o \u00E9 usada para lidar com os infinitos que surgem nas quantidades calculadas, alterando valores dessas quantidades para compensar os efeitos das suas auto-intera\u00E7\u00F5es. Inicialmente vista como um procedimento suspeito e provis\u00F3rio por alguns de seus criadores, a renormaliza\u00E7\u00E3o foi posteriormente considerada uma ferramenta importante e auto-consistente em v\u00E1rios campos da f\u00EDsica e da matem\u00E1tica. A renormaliza\u00E7\u00E3o \u00E9 distinta da outra t\u00E9cnica para controlar os infinitos, regulariza\u00E7\u00E3o, que assume a exist\u00EAncia de uma nova f\u00EDsica desconhecida em novas escalas."@pt . "\uBB3C\uB9AC\uD559\uC5D0\uC11C \uC7AC\uADDC\uACA9\uD654(\u518D\u898F\u683C\u5316, renormalization) \uD639\uC740 \uB418\uB9DE\uCDA4\uC774\uB780 \uC774\uB860\uC5D0\uC11C \uC0DD\uAE30\uB294 \uC5EC\uB7EC \uAC12\uC744 \uAC74\uB4DC\uB9BC\uC774\uB860\uC5D0\uC11C \uACE0\uCC28\uC6D0\uC801 \uC218\uC815\uC744 \uACE0\uB824\uD558\uAE30 \uC704\uD574, \uC774\uB860\uC758 \uC0C1\uC218\uB97C \uD615\uC2DD\uC801\uC73C\uB85C \uBC14\uAFB8\uB294 \uACFC\uC815\uC774\uB2E4. \uC591\uC790\uC7A5\uB860\uC774\uB098 \uD1B5\uACC4 \uBB3C\uB9AC\uD559 \uB4F1 \uC801 \uAD6C\uC870\uB97C \uAC16\uB294 \uACC4\uC5D0\uC11C \uD544\uC694\uD558\uB2E4. \uD2B9\uD788, \uB300\uBD80\uBD84\uC758 \uC591\uC790\uC7A5\uB860 \uC774\uB860\uC5D0\uC11C\uB294 \uAC74\uB4DC\uB9BC\uC774\uB860\uC73C\uB85C \uC218\uC815\uD55C \uC0C1\uC218\uAC00 \uBC1C\uC0B0\uD558\uAE30 \uB54C\uBB38\uC5D0 \uC7AC\uADDC\uACA9\uD654\uD558\uC5EC \uC0C1\uC218\uB97C \uAD00\uCC30\uB41C \uAC12\uC73C\uB85C \uC720\uD55C\uD558\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uB2E4(\uC644\uC804\uD788 \uC720\uD55C\uD55C \uC591\uC790\uC7A5\uB860\uB3C4 \uC788\uC9C0\uB9CC, \uC774\uB7EC\uD55C \uACBD\uC6B0\uC5D0\uB3C4 \uAC74\uB4DC\uB9BC\uC774\uB860\uC744 \uC0AC\uC6A9\uD558\uB824\uBA74 \uC7AC\uADDC\uACA9\uD654\uAC00 \uD544\uC694\uD558\uB2E4). \uBB3C\uB9AC\uD559\uC801\uC73C\uB85C, \uC7AC\uADDC\uACA9\uD654\uB780 \uC5B4\uB5A4 \uC5D0\uB108\uC9C0 \uC2A4\uCF00\uC77C\uC744 \uC9C0\uB098\uBA74 \uBB3C\uB9AC \uC774\uB860\uC744 \uB354 \uC774\uC0C1 \uC801\uC6A9\uD560 \uC218 \uC5C6\uAE30 \uB54C\uBB38\uC5D0, \uACE0\uC5D0\uB108\uC9C0\uC5D0\uC11C\uC758 \uBB34\uC2DD\uC744 \uB098\uD0C0\uB0B8\uB2E4. \uC7AC\uADDC\uACA9\uD654\uB77C\uB294 \uC774\uB984\uC740 \uC5B4\uB5A4 \uD06C\uAE30\uC5D0\uC11C, \uBB3C\uB9AC\uB7C9\uC758 \uAE30\uC900(normalization)\uC744 \uB2E4\uC2DC(re-) \uC138\uC6CC\uC900\uB2E4\uB294 \uB73B\uC774\uB2E4. \uC7AC\uADDC\uACA9\uD654\uC5D0\uB294 \uC5EC\uB7EC \uAC00\uC9C0 \uBC29\uC2DD(scheme)\uC774 \uC788\uB294\uB370, \uD754\uD788 \uC4F0\uC774\uB294 \uAC83\uC73C\uB85C\uB294 \uCD5C\uC18C\uBE84\uC148\uBC29\uC2DD\uACFC \uC218\uC815 \uCD5C\uC18C\uBE84\uC148\uBC29\uC2DD, \uC9C8\uB7C9\uAECD\uC9C8 \uC704 \uBC29\uC2DD(on-shell scheme) \uB4F1\uC774 \uC788\uB2E4."@ko . . . . . "En kvantuma kampa teorio, renormumo estas kalkula procedo trovi finiajn valorojn de observeblaj kvantoj per reesprimi kvantojn kiel funkciojn de fizikaj (\"vestitaj\") parametroj, ne de nefizikaj (\"nudaj\") parametroj kiuj difini\u011Das nur formale. Renormumeblaj teorioj havas nur finian nombron de parametroj kaj havas povon anta\u016Ddiri; dume, nerenormumeblaj teorioj havas nefinian nombron de parametroj kaj, tiale, mankas povon anta\u016Ddiri."@eo . . . . . . . . . . . . "En teor\u00EDa cu\u00E1ntica de campos y otras \u00E1reas, la renormalizaci\u00F3n se refiere a un conjunto de t\u00E9cnicas usadas para obtener t\u00E9rminos finitos en un desarrollo perturbativo. La renormalizaci\u00F3n es importante porque en teor\u00EDa cu\u00E1ntica de campos no se conoc\u00EDa la manera de calcular ciertas magnitudes de otra manera que no sea una serie formal de potencias\u200B. El problema es que algunos de los t\u00E9rminos de la serie pueden resultar divergentes en el l\u00EDmite de altas energ\u00EDas, aun cuando f\u00EDsicamente los valores observados son finitos. Esto parece un problema asociado con el uso de series perturbativas, y supuestamente algunos m\u00E9todos no perturbativos no conocidos resolver\u00EDan el problema. Por lo tanto, la renormalizaci\u00F3n es necesaria ya que hoy por hoy no se conoce c\u00F3mo hacer los c\u00E1lculos sin series perturbativas."@es . . . "\uBB3C\uB9AC\uD559\uC5D0\uC11C \uC7AC\uADDC\uACA9\uD654(\u518D\u898F\u683C\u5316, renormalization) \uD639\uC740 \uB418\uB9DE\uCDA4\uC774\uB780 \uC774\uB860\uC5D0\uC11C \uC0DD\uAE30\uB294 \uC5EC\uB7EC \uAC12\uC744 \uAC74\uB4DC\uB9BC\uC774\uB860\uC5D0\uC11C \uACE0\uCC28\uC6D0\uC801 \uC218\uC815\uC744 \uACE0\uB824\uD558\uAE30 \uC704\uD574, \uC774\uB860\uC758 \uC0C1\uC218\uB97C \uD615\uC2DD\uC801\uC73C\uB85C \uBC14\uAFB8\uB294 \uACFC\uC815\uC774\uB2E4. \uC591\uC790\uC7A5\uB860\uC774\uB098 \uD1B5\uACC4 \uBB3C\uB9AC\uD559 \uB4F1 \uC801 \uAD6C\uC870\uB97C \uAC16\uB294 \uACC4\uC5D0\uC11C \uD544\uC694\uD558\uB2E4. \uD2B9\uD788, \uB300\uBD80\uBD84\uC758 \uC591\uC790\uC7A5\uB860 \uC774\uB860\uC5D0\uC11C\uB294 \uAC74\uB4DC\uB9BC\uC774\uB860\uC73C\uB85C \uC218\uC815\uD55C \uC0C1\uC218\uAC00 \uBC1C\uC0B0\uD558\uAE30 \uB54C\uBB38\uC5D0 \uC7AC\uADDC\uACA9\uD654\uD558\uC5EC \uC0C1\uC218\uB97C \uAD00\uCC30\uB41C \uAC12\uC73C\uB85C \uC720\uD55C\uD558\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uB2E4(\uC644\uC804\uD788 \uC720\uD55C\uD55C \uC591\uC790\uC7A5\uB860\uB3C4 \uC788\uC9C0\uB9CC, \uC774\uB7EC\uD55C \uACBD\uC6B0\uC5D0\uB3C4 \uAC74\uB4DC\uB9BC\uC774\uB860\uC744 \uC0AC\uC6A9\uD558\uB824\uBA74 \uC7AC\uADDC\uACA9\uD654\uAC00 \uD544\uC694\uD558\uB2E4). \uBB3C\uB9AC\uD559\uC801\uC73C\uB85C, \uC7AC\uADDC\uACA9\uD654\uB780 \uC5B4\uB5A4 \uC5D0\uB108\uC9C0 \uC2A4\uCF00\uC77C\uC744 \uC9C0\uB098\uBA74 \uBB3C\uB9AC \uC774\uB860\uC744 \uB354 \uC774\uC0C1 \uC801\uC6A9\uD560 \uC218 \uC5C6\uAE30 \uB54C\uBB38\uC5D0, \uACE0\uC5D0\uB108\uC9C0\uC5D0\uC11C\uC758 \uBB34\uC2DD\uC744 \uB098\uD0C0\uB0B8\uB2E4. \uC7AC\uADDC\uACA9\uD654\uB77C\uB294 \uC774\uB984\uC740 \uC5B4\uB5A4 \uD06C\uAE30\uC5D0\uC11C, \uBB3C\uB9AC\uB7C9\uC758 \uAE30\uC900(normalization)\uC744 \uB2E4\uC2DC(re-) \uC138\uC6CC\uC900\uB2E4\uB294 \uB73B\uC774\uB2E4. \uC7AC\uADDC\uACA9\uD654\uC5D0\uB294 \uC5EC\uB7EC \uAC00\uC9C0 \uBC29\uC2DD(scheme)\uC774 \uC788\uB294\uB370, \uD754\uD788 \uC4F0\uC774\uB294 \uAC83\uC73C\uB85C\uB294 \uCD5C\uC18C\uBE84\uC148\uBC29\uC2DD\uACFC \uC218\uC815 \uCD5C\uC18C\uBE84\uC148\uBC29\uC2DD, \uC9C8\uB7C9\uAECD\uC9C8 \uC704 \uBC29\uC2DD(on-shell scheme) \uB4F1\uC774 \uC788\uB2E4."@ko . . . . "En kvantuma kampa teorio, renormumo estas kalkula procedo trovi finiajn valorojn de observeblaj kvantoj per reesprimi kvantojn kiel funkciojn de fizikaj (\"vestitaj\") parametroj, ne de nefizikaj (\"nudaj\") parametroj kiuj difini\u011Das nur formale. Renormumeblaj teorioj havas nur finian nombron de parametroj kaj havas povon anta\u016Ddiri; dume, nerenormumeblaj teorioj havas nefinian nombron de parametroj kaj, tiale, mankas povon anta\u016Ddiri."@eo . . . . . . . . . . . . . "Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering values of these quantities to compensate for effects of their self-interactions. But even if no infinities arose in loop diagrams in quantum field theory, it could be shown that it would be necessary to renormalize the mass and fields appearing in the original Lagrangian. For example, an electron theory may begin by postulating an electron with an initial mass and charge. In quantum field theory a cloud of virtual particles, such as photons, positrons, and others surrounds and interacts with the initial electron. Accounting for the interactions of the surrounding particles (e.g. collisions at different energies) shows that the electron-system behaves as if it had a different mass and charge than initially postulated. Renormalization, in this example, mathematically replaces the initially postulated mass and charge of an electron with the experimentally observed mass and charge. Mathematics and experiments prove that positrons and more massive particles like protons exhibit precisely the same observed charge as the electron \u2013 even in the presence of much stronger interactions and more intense clouds of virtual particles. Renormalization specifies relationships between parameters in the theory when parameters describing large distance scales differ from parameters describing small distance scales. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in further infinities. When describing spacetime as a continuum, certain statistical and quantum mechanical constructions are not well-defined. To define them, or make them unambiguous, a continuum limit must carefully remove \"construction scaffolding\" of lattices at various scales. Renormalization procedures are based on the requirement that certain physical quantities (such as the mass and charge of an electron) equal observed (experimental) values. That is, the experimental value of the physical quantity yields practical applications, but due to their empirical nature the observed measurement represents areas of quantum field theory that require deeper derivation from theoretical bases. Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Nikolay Bogolyubov and Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through \"effective\" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each. Wilson clarified which variables of a system are crucial and which are redundant. Renormalization is distinct from regularization, another technique to control infinities by assuming the existence of new unknown physics at new scales."@en . . . . . . "Renormalizaci\u00F3n"@es . "Renormalization is a collection of techniques in quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, that are used to treat infinities arising in calculated quantities by altering values of these quantities to compensate for effects of their self-interactions. But even if no infinities arose in loop diagrams in quantum field theory, it could be shown that it would be necessary to renormalize the mass and fields appearing in the original Lagrangian."@en . "En teoria qu\u00E0ntica de camps i mec\u00E0nica estad\u00EDstica, la renormalitzaci\u00F3 es refereix a un conjunt de t\u00E8cniques utilitzades per obtenir termes finits en un desenvolupament pertorbatiu. Aquests procediments tenen a veure amb els problemes que sorgeixen en passar a un l\u00EDmit continu. M\u00E9s concretament, quan es descriu un sistema f\u00EDsic de manera aproximada mitjan\u00E7ant una xarxa discreta de punts, certes quantitats estan ben definides per\u00F2, al passar al l\u00EDmit continu considerant una infinitat de punts, les quantitats estan mal definides matem\u00E0ticament. La renormalitzaci\u00F3 consisteix en un conjunt de t\u00E8cniques que practiquen el l\u00EDmit continu d'una forma alterna de manera que totes les quantitats estan ben definides i donen lloc a termes finits. Una propietat important de la teoria de camp de gauge \u00E9s que aquestes quantitats tenen la propietat de ser renormalitzables, ra\u00F3 per la qual aquests tipus de teories de camp han sigut extensivament estudiades, ja que la renormalitzaci\u00F3 permet obtenir respostes finites contrastables amb els experiments."@ca . . . . . . . . . . . . . . . . . . . "\u91CD\u6574\u5316\uFF08Renormalization\uFF09\u662F\u91CF\u5B50\u573A\u8BBA\u3001\u7EDF\u8BA1\u573A\u8BBA\u548C\u81EA\u76F8\u4F3C\u51E0\u4F55\u7ED3\u6784\u4E2D\u89E3\u51B3\u8BA1\u7B97\u8FC7\u7A0B\u4E2D\u51FA\u73B0\u65E0\u7A77\u5927\u7684\u4E00\u7CFB\u5217\u65B9\u6CD5\u3002 \u5728\u91CF\u5B50\u573A\u8BBA\u53D1\u5C55\u7684\u65E9\u671F\uFF0C\u4EBA\u4EEC\u53D1\u73B0\u8BB8\u591A\u5708\u56FE\uFF08\u5373\u5FAE\u6270\u5C55\u5F00\u7684\u9AD8\u9636\u9879\uFF09\u7684\u8BA1\u7B97\u7ED3\u679C\u542B\u6709\u53D1\u6563\uFF08\u5373\u65E0\u7A77\u5927\uFF09\u9879\u3002\u91CD\u6574\u5316\u662F\u89E3\u51B3\u8FD9\u4E2A\u56F0\u96BE\u7684\u4E00\u4E2A\u65B9\u6848\u3002\u4E00\u4E2A\u7406\u8BBA\u5982\u679C\u53EA\u6709\u6709\u9650\u79CD\u53D1\u6563\u9879\uFF0C\u5219\u53EF\u4EE5\u5728\u62C9\u683C\u6717\u65E5\u91CF\u4E2D\u5F15\u8FDB\u6709\u9650\u6570\u76EE\u7684\u9879\u6765\u62B5\u6D88\u8FD9\u4E9B\u65E0\u7A77\u5927\u9879\uFF0C\u8FD9\u79CD\u60C5\u5F62\u88AB\u79F0\u4E3A\u53EF\u91CD\u6574\u3002\u53CD\u4E4B\uFF0C\u5982\u679C\u7406\u8BBA\u4E2D\u6709\u65E0\u9650\u79CD\u53D1\u6563\u9879\uFF0C\u5219\u79F0\u4E3A\u4E0D\u53EF\u91CD\u6574\u3002 \u53EF\u91CD\u6574\u5316\u66FE\u88AB\u8BA4\u4E3A\u4E00\u4E2A\u573A\u8BBA\u6240\u5FC5\u9700\u6EE1\u8DB3\u7684\u81EA\u6D3D\u6027\u8981\u6C42\u3002\u5B83\u5728\u91CF\u5B50\u7535\u52A8\u529B\u5B66\u548C\u91CF\u5B50\u89C4\u8303\u573A\u8BBA\u7684\u53D1\u5C55\u8FC7\u7A0B\u4E2D\u8D77\u8FC7\u91CD\u8981\u7684\u4F5C\u7528\u3002\u7C92\u5B50\u7269\u7406\u7684\u6807\u51C6\u6A21\u578B\u4E5F\u662F\u53EF\u91CD\u6574\u7684\u3002 \u73B0\u4EE3\u573A\u8BBA\u7684\u89C2\u70B9\u8BA4\u4E3A\u6240\u6709\u7406\u8BBA\u90FD\u53EA\u662F\u6709\u6548\u7406\u8BBA\uFF0C\u5B83\u4EEC\u90FD\u6709\u5B83\u4EEC\u7684\u9002\u7528\u8303\u56F4\u3002\u9664\u4E86\u6240\u8C13\u7684\u7EC8\u6781\u7406\u8BBA\uFF0C\u6240\u6709\u7406\u8BBA\u5728\u539F\u5219\u4E0A\u90FD\u662F\u4E0D\u53EF\u91CD\u6574\u7684\u3002\u5728\u8FD9\u79CD\u89C2\u70B9\u4E0B\uFF0C\u91CD\u6574\u5316\u53EA\u662F\u8054\u7CFB\u4E0D\u540C\u4E0B\u7406\u8BBA\u7684\u4E00\u79CD\u65B9\u6CD5\u3002"@zh . . . . . . . . . "\u7E70\u308A\u8FBC\u307F\uFF08\u304F\u308A\u3053\u307F\u3001\u30A2\u30E1\u30EA\u30AB\u82F1\u8A9E\uFF1ARenormalization \u30A4\u30AE\u30EA\u30B9\u7B49\u82F1\u8A9E\u53CA\u3073\u30D5\u30E9\u30F3\u30B9\u8A9E\uFF1ARenormalisation \uFF09\u3068\u306F\u3001\u5834\u306E\u91CF\u5B50\u8AD6\u3067\u4F7F\u308F\u308C\u308B\u3001\u8A08\u7B97\u7D50\u679C\u304C\u7121\u9650\u5927\u306B\u767A\u6563\u3057\u3066\u3057\u307E\u3046\u306E\u3092\u9632\u3050\u6570\u5B66\u7684\u306A\u6280\u6CD5\u3067\u3042\u308A\u3001\u540C\u6642\u306B\u5834\u306E\u91CF\u5B50\u8AD6\u304C\u6E80\u305F\u3059\u3079\u304D\u6700\u91CD\u8981\u306A\u539F\u7406\u306E\u3072\u3068\u3064\u3067\u3082\u3042\u308B\u3002 \u304F\u308A\u3053\u307F\u306B\u3088\u308A\u3001\u5834\u306E\u91CF\u5B50\u8AD6\u3092\u96FB\u78C1\u76F8\u4E92\u4F5C\u7528\u306B\u9069\u7528\u3057\u305F\u91CF\u5B50\u96FB\u78C1\u529B\u5B66\u304C\u5B8C\u6210\u3057\u305F\u3002\u5834\u306E\u91CF\u5B50\u8AD6\u306B\u304F\u308A\u3053\u307F\u3092\u7528\u3044\u308B\u65B9\u6CD5\u306F\u3001\u4EE5\u5F8C\u306E\u91CF\u5B50\u8272\u529B\u5B66\u304A\u3088\u3073\u30EF\u30A4\u30F3\u30D0\u30FC\u30B0\u30FB\u30B5\u30E9\u30E0\u7406\u8AD6\u3092\u69CB\u7BC9\u3059\u308B\u969B\u306E\u898F\u7BC4\u3068\u306A\u308B\u3002"@ja . . . . . . . . . . . . . "In fisica, la rinormalizzazione \u00E8 un insieme di tecniche per trattare le divergenze e i relativi infiniti che emergono nel calcolo delle quantit\u00E0 fisiche nella teoria quantistica dei campi, nella meccanica statistica e nella teoria delle strutture geometriche auto-similari. Quando si descrivono lo spazio e il tempo come entit\u00E0 continue, la costruzione di certe teorie quantistiche e statistiche risulta mal definita. Per trattarle correttamente \u00E8 necessario definire con attenzione un opportuno limite continuo. In questo limite esistono delle relazioni non banali fra i parametri che descrivono la teoria a grandi scale e distanze rispetto a quelli che descrivono l'andamento della stessa teoria a piccole distanze. La rinormalizzazione fu sviluppata per la prima volta per rimuovere gli infiniti che emergono negli integrali dello sviluppo perturbativo nell'elettrodinamica quantistica. Inizialmente vista come una procedura sospetta perfino da alcuni dei suoi ideatori, oggi \u00E8 considerata uno strumento autonomo e coerente in molti ambiti della fisica e della matematica."@it . "In fisica, la rinormalizzazione \u00E8 un insieme di tecniche per trattare le divergenze e i relativi infiniti che emergono nel calcolo delle quantit\u00E0 fisiche nella teoria quantistica dei campi, nella meccanica statistica e nella teoria delle strutture geometriche auto-similari."@it . . "2005-10-15"^^ . . . . . . . . "En teor\u00EDa cu\u00E1ntica de campos y otras \u00E1reas, la renormalizaci\u00F3n se refiere a un conjunto de t\u00E9cnicas usadas para obtener t\u00E9rminos finitos en un desarrollo perturbativo. La renormalizaci\u00F3n es importante porque en teor\u00EDa cu\u00E1ntica de campos no se conoc\u00EDa la manera de calcular ciertas magnitudes de otra manera que no sea una serie formal de potencias\u200B. El problema es que algunos de los t\u00E9rminos de la serie pueden resultar divergentes en el l\u00EDmite de altas energ\u00EDas, aun cuando f\u00EDsicamente los valores observados son finitos. Esto parece un problema asociado con el uso de series perturbativas, y supuestamente algunos m\u00E9todos no perturbativos no conocidos resolver\u00EDan el problema. Por lo tanto, la renormalizaci\u00F3n es necesaria ya que hoy por hoy no se conoce c\u00F3mo hacer los c\u00E1lculos sin series perturb"@es . . . . . . . . . "60302"^^ . . . "October 2022"@en . . "\u91CD\u6574\u5316\uFF08Renormalization\uFF09\u662F\u91CF\u5B50\u573A\u8BBA\u3001\u7EDF\u8BA1\u573A\u8BBA\u548C\u81EA\u76F8\u4F3C\u51E0\u4F55\u7ED3\u6784\u4E2D\u89E3\u51B3\u8BA1\u7B97\u8FC7\u7A0B\u4E2D\u51FA\u73B0\u65E0\u7A77\u5927\u7684\u4E00\u7CFB\u5217\u65B9\u6CD5\u3002 \u5728\u91CF\u5B50\u573A\u8BBA\u53D1\u5C55\u7684\u65E9\u671F\uFF0C\u4EBA\u4EEC\u53D1\u73B0\u8BB8\u591A\u5708\u56FE\uFF08\u5373\u5FAE\u6270\u5C55\u5F00\u7684\u9AD8\u9636\u9879\uFF09\u7684\u8BA1\u7B97\u7ED3\u679C\u542B\u6709\u53D1\u6563\uFF08\u5373\u65E0\u7A77\u5927\uFF09\u9879\u3002\u91CD\u6574\u5316\u662F\u89E3\u51B3\u8FD9\u4E2A\u56F0\u96BE\u7684\u4E00\u4E2A\u65B9\u6848\u3002\u4E00\u4E2A\u7406\u8BBA\u5982\u679C\u53EA\u6709\u6709\u9650\u79CD\u53D1\u6563\u9879\uFF0C\u5219\u53EF\u4EE5\u5728\u62C9\u683C\u6717\u65E5\u91CF\u4E2D\u5F15\u8FDB\u6709\u9650\u6570\u76EE\u7684\u9879\u6765\u62B5\u6D88\u8FD9\u4E9B\u65E0\u7A77\u5927\u9879\uFF0C\u8FD9\u79CD\u60C5\u5F62\u88AB\u79F0\u4E3A\u53EF\u91CD\u6574\u3002\u53CD\u4E4B\uFF0C\u5982\u679C\u7406\u8BBA\u4E2D\u6709\u65E0\u9650\u79CD\u53D1\u6563\u9879\uFF0C\u5219\u79F0\u4E3A\u4E0D\u53EF\u91CD\u6574\u3002 \u53EF\u91CD\u6574\u5316\u66FE\u88AB\u8BA4\u4E3A\u4E00\u4E2A\u573A\u8BBA\u6240\u5FC5\u9700\u6EE1\u8DB3\u7684\u81EA\u6D3D\u6027\u8981\u6C42\u3002\u5B83\u5728\u91CF\u5B50\u7535\u52A8\u529B\u5B66\u548C\u91CF\u5B50\u89C4\u8303\u573A\u8BBA\u7684\u53D1\u5C55\u8FC7\u7A0B\u4E2D\u8D77\u8FC7\u91CD\u8981\u7684\u4F5C\u7528\u3002\u7C92\u5B50\u7269\u7406\u7684\u6807\u51C6\u6A21\u578B\u4E5F\u662F\u53EF\u91CD\u6574\u7684\u3002 \u73B0\u4EE3\u573A\u8BBA\u7684\u89C2\u70B9\u8BA4\u4E3A\u6240\u6709\u7406\u8BBA\u90FD\u53EA\u662F\u6709\u6548\u7406\u8BBA\uFF0C\u5B83\u4EEC\u90FD\u6709\u5B83\u4EEC\u7684\u9002\u7528\u8303\u56F4\u3002\u9664\u4E86\u6240\u8C13\u7684\u7EC8\u6781\u7406\u8BBA\uFF0C\u6240\u6709\u7406\u8BBA\u5728\u539F\u5219\u4E0A\u90FD\u662F\u4E0D\u53EF\u91CD\u6574\u7684\u3002\u5728\u8FD9\u79CD\u89C2\u70B9\u4E0B\uFF0C\u91CD\u6574\u5316\u53EA\u662F\u8054\u7CFB\u4E0D\u540C\u4E0B\u7406\u8BBA\u7684\u4E00\u79CD\u65B9\u6CD5\u3002"@zh . . "\u7E70\u308A\u8FBC\u307F"@ja . . . . "Renormalizacja \u2013 grupowanie modeli fizycznych w r\u00F3wnowa\u017Cne sobie postacie. W ramach takiej procedury, uk\u0142ad fizyczny, opisywany r\u00F3wnaniami zawieraj\u0105cymi skomplikowane oddzia\u0142ywania reprezentowane przez cz\u0142ony nieliniowe, mo\u017Ce zosta\u0107 sklasyfikowany do tej samej klasy, co inny uk\u0142ad, czasem liniowy lub ten sam uk\u0142ad, ale dla innych warto\u015Bci tzw. sta\u0142ych sprz\u0119\u017Cenia, odpowiadaj\u0105cych za \u201Esi\u0142\u0119\u201D wyraz\u00F3w nieliniowych. Innymi s\u0142owy przechodzimy z jednego modelu o ustalonych warto\u015Bciach parametr\u00F3w w r\u00F3wnaniach do innego modelu o innych warto\u015Bciach parametr\u00F3w. Technika grupy renormalizacji pozwala oceni\u0107, kiedy takie przej\u015Bcie jest w\u0142a\u015Bciwe, oraz cz\u0119sto pozwala uzyska\u0107 znaczne uproszczenie opisu. Praktyczna realizacja renormalizacji jest r\u00F3\u017Cna w r\u00F3\u017Cnych dziedzinach fizyki. Wyr\u00F3\u017Cnia si\u0119 przy tym dwa podej\u015Bcia: zwi\u0105zane z mechanik\u0105 statystyczn\u0105 i zwi\u0105zane z teori\u0105 pola. Podej\u015Bcie zwi\u0105zane z mechanik\u0105 statystyczn\u0105 pozwala uniezale\u017Cni\u0107 opis uk\u0142adu od skali zjawiska, co jest owocne w opisie przej\u015B\u0107 fazowych, natomiast podej\u015Bcie zwi\u0105zane z kwantow\u0105 teori\u0105 pola pozwala uniezale\u017Cni\u0107 przewidywania teorii od tzw. cut-off \u2013 parametru obci\u0119cia."@pl . . . . . . . . . . . "\u0627\u0633\u062A\u0628\u062F\u0627\u0644 \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u0646\u0627\u0647\u064A"@ar . "En th\u00E9orie quantique des champs (ou QFT), en m\u00E9canique statistique des champs, dans la th\u00E9orie des structures g\u00E9om\u00E9triques autosimilaires, une renormalisation se rapporte \u00E0 un ensemble de techniques utilis\u00E9es pour prendre la limite du continu. Quand on d\u00E9crit l'espace et le temps comme un continuum, certaines constructions statistiques et quantiques deviennent ind\u00E9finies. Pour les d\u00E9finir, il faut prendre des pr\u00E9cautions pour passer \u00E0 la limite."@fr . . . . . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u043A\u0430"@ru . . . . . . . . . . . . . . . . "Renormalizacja"@pl . . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0301\u0432\u043A\u0430 \u0432 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u043F\u043E\u043B\u044F \u2014 \u043F\u0440\u043E\u0446\u0435\u0434\u0443\u0440\u0430 \u0443\u0441\u0442\u0440\u0430\u043D\u0435\u043D\u0438\u044F \u0443\u043B\u044C\u0442\u0440\u0430\u0444\u0438\u043E\u043B\u0435\u0442\u043E\u0432\u044B\u0445 \u0440\u0430\u0441\u0445\u043E\u0434\u0438\u043C\u043E\u0441\u0442\u0435\u0439 \u0432 \u043A\u043B\u0430\u0441\u0441\u0435 \u0442\u0435\u043E\u0440\u0438\u0439, \u043D\u0430\u0437\u044B\u0432\u0430\u0435\u043C\u044B\u0445 \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u0443\u0435\u043C\u044B\u043C\u0438. \u0421 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0442\u043E\u0447\u043A\u0438 \u0437\u0440\u0435\u043D\u0438\u044F \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u0437\u043C\u0435\u043D\u0435\u043D\u0438\u044E \u043D\u0430\u0447\u0430\u043B\u044C\u043D\u044B\u0445 (\u0437\u0430\u0442\u0440\u0430\u0432\u043E\u0447\u043D\u044B\u0445) \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D\u043E\u0432 \u0442\u0430\u043A\u0438\u0445 \u0442\u0435\u043E\u0440\u0438\u0439 \u0441 \u0442\u0435\u043C, \u0447\u0442\u043E\u0431\u044B \u0440\u0435\u0437\u0443\u043B\u044C\u0442\u0438\u0440\u0443\u044E\u0449\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430 \u0442\u0435\u043E\u0440\u0438\u0438 \u043D\u0435 \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u043B\u0430 \u0441\u0438\u043D\u0433\u0443\u043B\u044F\u0440\u043D\u043E\u0441\u0442\u0435\u0439 (\u0438 \u0441\u043E\u0432\u043F\u0430\u0434\u0430\u043B\u0430 \u0441 \u043D\u0430\u0431\u043B\u044E\u0434\u0430\u0435\u043C\u043E\u0439, \u0435\u0441\u043B\u0438 \u0442\u0435\u043E\u0440\u0438\u044F \u043F\u0440\u0435\u0442\u0435\u043D\u0434\u0443\u0435\u0442 \u043D\u0430 \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0438). \u0414\u0440\u0443\u0433\u0438\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u043A\u0430 \u2014 \u044D\u0442\u043E \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u0435 \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D\u0430 \u0432\u0437\u0430\u0438\u043C\u043E\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044F \u0441 \u0442\u043E\u0439 \u0446\u0435\u043B\u044C\u044E, \u0447\u0442\u043E\u0431\u044B \u043E\u043D \u043D\u0435 \u043F\u0440\u0438\u0432\u043E\u0434\u0438\u043B \u043A \u0440\u0430\u0441\u0445\u043E\u0434\u0438\u043C\u043E\u0441\u0442\u044F\u043C. \u0427\u043B\u0435\u043D\u044B, \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u043C\u044B\u0435 \u0434\u043B\u044F \u044D\u0442\u043E\u0433\u043E \u0432 \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D, \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442\u0441\u044F \u043A\u043E\u043D\u0442\u0440\u0447\u043B\u0435\u043D\u0430\u043C\u0438. \u0412 \u0440\u0435\u0430\u043B\u044C\u043D\u044B\u0445 \u0432\u044B\u0447\u0438\u0441\u043B\u0435\u043D\u0438\u044F\u0445 \u0434\u043B\u044F \u043F\u0440\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u044F \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u044E\u0442\u0441\u044F \u043F\u0440\u043E\u0446\u0435\u0434\u0443\u0440\u044B \u0440\u0435\u0433\u0443\u043B\u044F\u0440\u0438\u0437\u0430\u0446\u0438\u0438."@ru . "\uC7AC\uADDC\uACA9\uD654"@ko . "Renormalisation"@fr . . . . . . . . . . "Renormalisatie"@nl . . . . . . . . . "Renormalisatie is een techniek die wordt gebruikt in de kwantumveldentheorie en in de statistische mechanica als een continue limiet moet worden genomen en bepaalde grootheden oneindige waarden zouden aannemen Als men tijd en ruimte beschrijft als een continu\u00FCm, gebeurt het vaak dat bepaalde statistische of kwantummechanische constructies slecht gedefinieerd zijn. Hierom moeten limieten met zorg worden genomen. Renormalisatie bepaalt dan de relatie tussen de parameters van de theorie, als de parameters bij afstanden op grote schaal verschillen van de parameters bij afstanden op kleine schaal."@nl . . . . . . . . . . . . "\u91CD\u6574\u5316"@zh . . . . "Renormalisatie is een techniek die wordt gebruikt in de kwantumveldentheorie en in de statistische mechanica als een continue limiet moet worden genomen en bepaalde grootheden oneindige waarden zouden aannemen Als men tijd en ruimte beschrijft als een continu\u00FCm, gebeurt het vaak dat bepaalde statistische of kwantummechanische constructies slecht gedefinieerd zijn. Hierom moeten limieten met zorg worden genomen. Renormalisatie bepaalt dan de relatie tussen de parameters van de theorie, als de parameters bij afstanden op grote schaal verschillen van de parameters bij afstanden op kleine schaal. Renormalisatie is oorspronkelijk ontwikkeld in de kwantumelektrodynamica (QED) om een zin te geven aan de divergente integralen in de perturbatietheorie. Oorspronkelijk werd deze techniek als verdacht beschouwd door enkele van haar bedenkers, maar uiteindelijk is ze algemeen aanvaard als een belangrijk en zelfconsistent deel van verscheidene gebieden in de natuurkunde en in de wiskunde."@nl . . "\u041F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0301\u0432\u043A\u0430 \u0432 \u043A\u0432\u0430\u043D\u0442\u043E\u0432\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u043F\u043E\u043B\u044F \u2014 \u043F\u0440\u043E\u0446\u0435\u0434\u0443\u0440\u0430 \u0443\u0441\u0442\u0440\u0430\u043D\u0435\u043D\u0438\u044F \u0443\u043B\u044C\u0442\u0440\u0430\u0444\u0438\u043E\u043B\u0435\u0442\u043E\u0432\u044B\u0445 \u0440\u0430\u0441\u0445\u043E\u0434\u0438\u043C\u043E\u0441\u0442\u0435\u0439 \u0432 \u043A\u043B\u0430\u0441\u0441\u0435 \u0442\u0435\u043E\u0440\u0438\u0439, \u043D\u0430\u0437\u044B\u0432\u0430\u0435\u043C\u044B\u0445 \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u0443\u0435\u043C\u044B\u043C\u0438. \u0421 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0442\u043E\u0447\u043A\u0438 \u0437\u0440\u0435\u043D\u0438\u044F \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u0437\u043C\u0435\u043D\u0435\u043D\u0438\u044E \u043D\u0430\u0447\u0430\u043B\u044C\u043D\u044B\u0445 (\u0437\u0430\u0442\u0440\u0430\u0432\u043E\u0447\u043D\u044B\u0445) \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D\u043E\u0432 \u0442\u0430\u043A\u0438\u0445 \u0442\u0435\u043E\u0440\u0438\u0439 \u0441 \u0442\u0435\u043C, \u0447\u0442\u043E\u0431\u044B \u0440\u0435\u0437\u0443\u043B\u044C\u0442\u0438\u0440\u0443\u044E\u0449\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430 \u0442\u0435\u043E\u0440\u0438\u0438 \u043D\u0435 \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u043B\u0430 \u0441\u0438\u043D\u0433\u0443\u043B\u044F\u0440\u043D\u043E\u0441\u0442\u0435\u0439 (\u0438 \u0441\u043E\u0432\u043F\u0430\u0434\u0430\u043B\u0430 \u0441 \u043D\u0430\u0431\u043B\u044E\u0434\u0430\u0435\u043C\u043E\u0439, \u0435\u0441\u043B\u0438 \u0442\u0435\u043E\u0440\u0438\u044F \u043F\u0440\u0435\u0442\u0435\u043D\u0434\u0443\u0435\u0442 \u043D\u0430 \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0438). \u0414\u0440\u0443\u0433\u0438\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u043F\u0435\u0440\u0435\u043D\u043E\u0440\u043C\u0438\u0440\u043E\u0432\u043A\u0430 \u2014 \u044D\u0442\u043E \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u0435 \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D\u0430 \u0432\u0437\u0430\u0438\u043C\u043E\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044F \u0441 \u0442\u043E\u0439 \u0446\u0435\u043B\u044C\u044E, \u0447\u0442\u043E\u0431\u044B \u043E\u043D \u043D\u0435 \u043F\u0440\u0438\u0432\u043E\u0434\u0438\u043B \u043A \u0440\u0430\u0441\u0445\u043E\u0434\u0438\u043C\u043E\u0441\u0442\u044F\u043C. \u0427\u043B\u0435\u043D\u044B, \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u043C\u044B\u0435 \u0434\u043B\u044F \u044D\u0442\u043E\u0433\u043E \u0432 \u043B\u0430\u0433\u0440\u0430\u043D\u0436\u0438\u0430\u043D, \u043D\u0430\u0437\u044B\u0432\u0430\u044E\u0442\u0441\u044F \u043A\u043E\u043D\u0442\u0440\u0447\u043B\u0435\u043D\u0430\u043C\u0438."@ru . . . "Renormalitzaci\u00F3"@ca . . . . . "Renormering \u00E4r en upps\u00E4ttning tekniker som anv\u00E4nds inom f\u00E4ltteorier f\u00F6r att best\u00E4mma rumtid/(energi)konstanter som teorin sedan baserar p\u00E5. Den anv\u00E4nds inom kvantf\u00E4ltteori statistisk mekanik och teorin f\u00F6r sj\u00E4lvliknande geometriska strukturer. Renormering kan enkelt beskrivas som att man betraktar enstaka partiklar p\u00E5 \"lite avst\u00E5nd\". Man beh\u00F6ver inte ta h\u00E4nsyn till kortlivade par av partiklar och antipartiklar, som \u00E4r virtuella och som uppst\u00E5r spontant enligt kvantteorin. Ist\u00E4llet studerar man \"molnet\" av partiklarna, vilket g\u00F6r att man f\u00E5r en ny laddning och en ny massa. Metoden utvecklades p\u00E5 1940-talet av Shinichir\u014D Tomonaga, Julian Schwinger och Richard P. Feynman, som fick dela 1965 \u00E5rs Nobelpris f\u00F6r sina insatser."@sv . . . . . . . . . . "yes"@en . "1121621530"^^ . . . . "En teoria qu\u00E0ntica de camps i mec\u00E0nica estad\u00EDstica, la renormalitzaci\u00F3 es refereix a un conjunt de t\u00E8cniques utilitzades per obtenir termes finits en un desenvolupament pertorbatiu. Aquests procediments tenen a veure amb els problemes que sorgeixen en passar a un l\u00EDmit continu. M\u00E9s concretament, quan es descriu un sistema f\u00EDsic de manera aproximada mitjan\u00E7ant una xarxa discreta de punts, certes quantitats estan ben definides per\u00F2, al passar al l\u00EDmit continu considerant una infinitat de punts, les quantitats estan mal definides matem\u00E0ticament. La renormalitzaci\u00F3 consisteix en un conjunt de t\u00E8cniques que practiquen el l\u00EDmit continu d'una forma alterna de manera que totes les quantitats estan ben definides i donen lloc a termes finits."@ca . . "En th\u00E9orie quantique des champs (ou QFT), en m\u00E9canique statistique des champs, dans la th\u00E9orie des structures g\u00E9om\u00E9triques autosimilaires, une renormalisation se rapporte \u00E0 un ensemble de techniques utilis\u00E9es pour prendre la limite du continu. Quand on d\u00E9crit l'espace et le temps comme un continuum, certaines constructions statistiques et quantiques deviennent ind\u00E9finies. Pour les d\u00E9finir, il faut prendre des pr\u00E9cautions pour passer \u00E0 la limite. La renormalisation d\u00E9termine la fa\u00E7on de relier les param\u00E8tres de la th\u00E9orie quand ces param\u00E8tres \u00E0 grande \u00E9chelle diff\u00E8rent de leur valeur \u00E0 petite \u00E9chelle. La renormalisation a \u00E9t\u00E9 initialement d\u00E9velopp\u00E9e en \u00E9lectrodynamique quantique (QED), en vue d'interpr\u00E9ter des int\u00E9grales divergentes de la th\u00E9orie des perturbations. Au d\u00E9but, elle est consid\u00E9r\u00E9e comme une proc\u00E9dure suspecte et provisoire par certains de ses auteurs. Finalement la renormalisation a \u00E9t\u00E9 incorpor\u00E9e comme un outil important et logiquement coh\u00E9rent dans plusieurs domaines de physique et de math\u00E9matiques. L'id\u00E9e majeure de la renormalisation est de corriger le lagrangien original d'une th\u00E9orie quantique des champs par une s\u00E9rie infinie de contre-termes, correspondant aux graphes de Feynman qui codent le d\u00E9veloppement perturbatif de la th\u00E9orie. Dans la proc\u00E9dure de renormalisation perturbative, on introduit un contre-terme dans le lagrangien initial pour chaque divergence de graphe de Feynman. Dans certains cas, tous les contre-termes n\u00E9cessaires peuvent \u00EAtre obtenus par modification des seuls param\u00E8tres du lagrangien initial. Il est alors possible de modifier ces param\u00E8tres, en les rempla\u00E7ant par des s\u00E9ries de contre-termes divergents. Les param\u00E8tres initiaux ne sont pas observables, par opposition aux quantit\u00E9s physiques, qui sont finies, et observables. Un des probl\u00E8mes de la proc\u00E9dure de renormalisation est le traitement syst\u00E9matique, dans les graphes \u00E0 plusieurs boucles, des divergences li\u00E9es \u00E0 des boucles crois\u00E9es ou incluses les unes dans les autres."@fr . . . . . . . "Renormaliza\u00E7\u00E3o"@pt . . . . . . "Renormalization"@en . . . . "Pr\u00F3iseas matamaitici\u00FAil a \u00FAs\u00E1idtear i dteoiric\u00ED r\u00E9ims\u00ED candamacha chun tortha\u00ED \u00E9igr\u00EDochta in \u00E1irimh a sheachaint tr\u00ED na cainn\u00EDochta\u00ED bun\u00FAsacha, cos\u00FAil le mais is lucht, a athshainmh\u00EDn\u00EDu. Meastar gur r\u00E9amhriachtanas teoirice \u00E1isi\u00FAla an g\u00E1 le hathnormal\u00FA, rud a l\u00E9ir\u00EDtear i leictridinimic chandamach, mar shampla."@ga . . . . . "291453"^^ . . . . . "Rinormalizzazione"@it . . . . .