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Statements

Subject Item: dbr:QCD_vacuum
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Quantum_field_theory
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Electromagnetic_field
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Millennium_Prize_Problems
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Subject Item: dbr:Mirror_symmetry_conjecture
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Subject Item: dbr:Källén–Lehmann_spectral_representation
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:List_of_mathematical_topics_in_quantum_theory
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Cross-correlation_matrix
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Graviton
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Subject Item: dbr:Green's_function
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Subject Item: dbr:Green's_function_(many-body_theory)
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Subject Item: dbr:Correlation_function
dbo:wikiPageWikiLink: dbr:Correlation_function_(quantum_field_theory)

Subject Item: dbr:Correlation_function_(quantum_field_theory)
rdfs:label: 相関関数 (場の量子論) Funzione di correlazione (teoria quantistica dei campi) Función de correlación (teoría cuántica de campos) 상관 함수 (양자장론) Корреляционная функция (квантовая теория поля) Função de correlação (teoria quântica de campo) Correlation function (quantum field theory)
rdfs:comment: In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products of field operators. They are a key object of study in quantum field theory where they can be used to calculate various observables such as S-matrix elements. Корреляционная функция (квантовая теория поля) — функциональное среднее (функциональное ожидаемое значение) произведения полевых операторов квантовой теории поля в разных точках где S - действие. Для корреляционных функций, зависящих от времени, подразумевается применение оператора упорядочения по времени . Корреляционные функции также называются просто корреляторами. Корреляционную функцию можно интерпретировать физически как амплитуду распространения частицы или возбуждения. Em teoria quântica de campo, a função de correlação de n pontos é definida como a média funcional (valor esperado funcional) de um produto de em posições diferentes Para funções de correlação dependentes do tempo, é necessário incluir o operador de ordenação temporal, . O termo função de Green é certas vezes generalizado para descrever qualquer função de correlação de n pontos, em vez de apenas funções de dois pontos. En teoría cuántica de campos, la función de correlación de n puntos se define como el promedio funcional del producto de n campos cuánticos en diferentes posiciones Para funciones de correlación dependientes del tiempo, se debe incluir el operador de orden temporal . 場の量子論において、実空間のn点相関関数は、異なる位置での個の場の演算子の積の平均(期待値)として定義される。時間依存する相関関数では、時間順序積が含まれる。場の量子論での相関関数はグリーン関数とも呼ばれる。 양자장론에서 상관 함수(相關函數, correlation function)란 진공 초기상태(켓)와 진공 나중상태(브라) 사이에 어떤 주어진 과정이 일어날 확률 진폭을 나타내는 함수다. 즉 진공상태를 로 적으면, n개의 함수 φ의 상관함수는 다음과 같다. 여기서 T는 연산자다. 숫자 n에 따라 0점함수, 1점함수, 2점함수, n점함수(n-point function) 등으로 불린다. 이 중 1점함수는 올챙이 함수 (tadpole), 2점함수는 그린 함수라고도 불린다. 만약 시간순서를 가하지 않는 경우는 와이트먼 함수(Wightman function)라고 불린다. Nella teoria quantistica dei campi, le funzioni di correlazione, spesso indicate come correlatori o funzioni di Green, sono valori di aspettazione del vuoto di prodotti ordinati temporalmente di operatori di campo. Sono un oggetto di studio fondamentale nella teoria quantistica dei campi, poiché possono essere utilizzate per calcolare varie osservabili come gli elementi della matrice S. La funzione di correlazione può essere interpretata fisicamente come l'ampiezza per la propagazione di una particella o eccitazione tra y e x.
foaf:depiction: n7:Connected_2_to_4_scalar_process.svg n7:Disconnected_2_to_4_scalar_process.svg
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dbp:alt: An example of a connected six-point correlation function Feynman diagram contribution. An example of a six-point correlation function Feynman diagram contribution that consists of two disconnected parts, each essentially a one to two diagram.
dbp:caption: A connected Feynman diagram which contributes to the connected six-point correlation function. A disconnected Feynman diagram which does not contribute to the connected six-point correlation function.
dbp:direction: vertical
dbp:image: Connected 2 to 4 scalar process.svg Disconnected 2 to 4 scalar process.svg
dbp:width: 200
dbo:abstract: Корреляционная функция (квантовая теория поля) — функциональное среднее (функциональное ожидаемое значение) произведения полевых операторов квантовой теории поля в разных точках где S - действие. Для корреляционных функций, зависящих от времени, подразумевается применение оператора упорядочения по времени . Корреляционные функции также называются просто корреляторами. Корреляционную функцию можно интерпретировать физически как амплитуду распространения частицы или возбуждения. Понятие (многочастичной) корреляционной функции (с соответствующими изменениями) также используется в физике конденсированного состояния. In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products of field operators. They are a key object of study in quantum field theory where they can be used to calculate various observables such as S-matrix elements. 양자장론에서 상관 함수(相關函數, correlation function)란 진공 초기상태(켓)와 진공 나중상태(브라) 사이에 어떤 주어진 과정이 일어날 확률 진폭을 나타내는 함수다. 즉 진공상태를 로 적으면, n개의 함수 φ의 상관함수는 다음과 같다. 여기서 T는 연산자다. 숫자 n에 따라 0점함수, 1점함수, 2점함수, n점함수(n-point function) 등으로 불린다. 이 중 1점함수는 올챙이 함수 (tadpole), 2점함수는 그린 함수라고도 불린다. 만약 시간순서를 가하지 않는 경우는 와이트먼 함수(Wightman function)라고 불린다. En teoría cuántica de campos, la función de correlación de n puntos se define como el promedio funcional del producto de n campos cuánticos en diferentes posiciones Para funciones de correlación dependientes del tiempo, se debe incluir el operador de orden temporal . La función de correlación de n=2 puntos se puede interpretar físicamente como la amplitud de propagación de una partícula entre y y x. En la teoría libre, es simplemente el propagador de Feynman. A veces se emplea el término de función de Green para referirse a cualquier función de correlación y no solamente a las funciones de correlación de dos puntos. Em teoria quântica de campo, a função de correlação de n pontos é definida como a média funcional (valor esperado funcional) de um produto de em posições diferentes Para funções de correlação dependentes do tempo, é necessário incluir o operador de ordenação temporal, . O termo função de Green é certas vezes generalizado para descrever qualquer função de correlação de n pontos, em vez de apenas funções de dois pontos. A função de correlação de dois pontos pode ser interpretada fisicamente como a amplitude de propagação de uma partícula ou excitação entre dois pontos no espaço-tempo. Na teoria livre, esta corresponde simplesmente ao . Nella teoria quantistica dei campi, le funzioni di correlazione, spesso indicate come correlatori o funzioni di Green, sono valori di aspettazione del vuoto di prodotti ordinati temporalmente di operatori di campo. Sono un oggetto di studio fondamentale nella teoria quantistica dei campi, poiché possono essere utilizzate per calcolare varie osservabili come gli elementi della matrice S. La funzione di correlazione può essere interpretata fisicamente come l'ampiezza per la propagazione di una particella o eccitazione tra y e x. 場の量子論において、実空間のn点相関関数は、異なる位置での個の場の演算子の積の平均(期待値)として定義される。時間依存する相関関数では、時間順序積が含まれる。場の量子論での相関関数はグリーン関数とも呼ばれる。
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