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In field theory, the Stueckelberg action (named after Ernst Stueckelberg) describes a massive spin-1 field as an R (the real numbers are the Lie algebra of U(1)) Yang–Mills theory coupled to a real scalar field φ. This scalar field takes on values in a real 1D affine representation of R with m as the coupling strength. Gauge-fixing φ=0, yields the Proca action.

Attributes	Values
rdfs:label	Stueckelberg ago (eo) 스튀켈베르크 작용 (ko) Stueckelberg action (en)
rdfs:comment	스튀켈베르크 작용(독일어: Stückelbergwirkung)은 질량을 가진 벡터장이 실수 스칼라장에 1차원 가환 으로 작용하는 이론이다. 여기서 질량은 결합상수에 해당한다. 스위스의 (Ernst Stückelberg)가 고안하였다. 은 다음과 같다. 여기서 게이지를 φ=0으로 고치면 프로카 작용을 얻는다. 이에 따라, 가환대칭군을 가진 양자전기역학은 게이지 보존 (광자)가 질량을 가져도 재규격화가능하지만, 비가환 게이지 이론은 게이지 보존이 질량을 가지면 재규격화할 수 없다. (ko) La Stueckelberg ago (nomita laŭ (1938), "Die Wechselwirkungskräfte in der Elektrodynamik und in der Feldtheorie der Kräfte", Helv. Phys. Acta. 11: 225; Esperante "la interagaj fortoj en la elektrodinamiko kaj en la kampa teorio de la fortoj") priskribas en la kampa teorio masiva spin-1 kampo kiel R (la reelaj nombroj estas la Lie-algebro de U(1), la kompleksa unuocirklo) ligita al reela skalara kampo φ. Tiu skalara kampo alprenas valoroj en reela unudimensia afina prezento de R per m kiel la kupla forteco. (eo) In field theory, the Stueckelberg action (named after Ernst Stueckelberg) describes a massive spin-1 field as an R (the real numbers are the Lie algebra of U(1)) Yang–Mills theory coupled to a real scalar field φ. This scalar field takes on values in a real 1D affine representation of R with m as the coupling strength. Gauge-fixing φ=0, yields the Proca action. (en)
dcterms:subject	Gauge theories Theoretical physics Physics beyond the Standard Model Symmetry
Wikipage page ID	1288985 (xsd:integer)
Wikipage revision ID	1109153337 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum electrodynamics Scalar field Renormalizable Gauge theories Coupling constant Theoretical physics SU(N) Yang–Mills theory Lie algebra Standard Model String theory Compactification (physics) Physics beyond the Standard Model Symmetry D-brane Ernst Stueckelberg Proca action Field theory (physics) Abelian group Affine representation Supergravity Higgs mechanism Real number Supersymmetric Linear representation Gauge invariant Kaluza–Klein model Decay width U(1)
Link from a Wikipage to an external page	http://www.stuckelberg.org/ https://arxiv.org/abs/hep-ph/0402047 https://arxiv.org/abs/hep-ph/0406167 https://arxiv.org/abs/hep-ph/0503208 https://arxiv.org/abs/hep-ph/0603039 https://arxiv.org/abs/hep-ph/0606294
sameAs	Stueckelberg action Stueckelberg action Stueckelberg action Stueckelberg action Stueckelberg action
dbp:wikiPageUsesTemplate	dbt:Quantum_field_theories dbt:Mvar dbt:Reflist dbt:Short_description dbt:Inline_citations
has abstract	La Stueckelberg ago (nomita laŭ (1938), "Die Wechselwirkungskräfte in der Elektrodynamik und in der Feldtheorie der Kräfte", Helv. Phys. Acta. 11: 225; Esperante "la interagaj fortoj en la elektrodinamiko kaj en la kampa teorio de la fortoj") priskribas en la kampa teorio masiva spin-1 kampo kiel R (la reelaj nombroj estas la Lie-algebro de U(1), la kompleksa unuocirklo) ligita al reela skalara kampo φ. Tiu skalara kampo alprenas valoroj en reela unudimensia afina prezento de R per m kiel la kupla forteco. Tio estas speciala kazo de la Higgs-meĥanismo, kie efektive la amaso de la Higgs-skalara escito estas kondukita al senfineco, do la Higgs-meĥanismo estas malkupla kaj estas ignorebla, rezultanta en nenlineara, afina prezento de la kampo, anstataŭ de — en nuntempa terminologio, U(1) nelineara σ-modelo. (eo) In field theory, the Stueckelberg action (named after Ernst Stueckelberg) describes a massive spin-1 field as an R (the real numbers are the Lie algebra of U(1)) Yang–Mills theory coupled to a real scalar field φ. This scalar field takes on values in a real 1D affine representation of R with m as the coupling strength. This is a special case of the Higgs mechanism, where, in effect, λ and thus the mass of the Higgs scalar excitation has been taken to infinity, so the Higgs has decoupled and can be ignored, resulting in a nonlinear, affine representation of the field, instead of a linear representation — in contemporary terminology, a U(1) nonlinear σ-model. Gauge-fixing φ=0, yields the Proca action. This explains why, unlike the case for non-abelian vector fields, quantum electrodynamics with a massive photon is, in fact, renormalizable, even though it is not manifestly gauge invariant (after the Stückelberg scalar has been eliminated in the Proca action). (en) 스튀켈베르크 작용(독일어: Stückelbergwirkung)은 질량을 가진 벡터장이 실수 스칼라장에 1차원 가환 으로 작용하는 이론이다. 여기서 질량은 결합상수에 해당한다. 스위스의 (Ernst Stückelberg)가 고안하였다. 은 다음과 같다. 여기서 게이지를 φ=0으로 고치면 프로카 작용을 얻는다. 이에 따라, 가환대칭군을 가진 양자전기역학은 게이지 보존 (광자)가 질량을 가져도 재규격화가능하지만, 비가환 게이지 이론은 게이지 보존이 질량을 가지면 재규격화할 수 없다. (ko)
prov:wasDerivedFrom	wikipedia-en:Stueckelberg_action?oldid=1109153337&ns=0
page length (characters) of wiki page	4670 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Stueckelberg_action
is Link from a Wikipage to another Wikipage of	Index of physics articles (S) W′ and Z′ bosons Stückelberg action Massive gravity Dark photon Dual graviton Ernst Stueckelberg Proca action Higgs boson Covariant formulation of classical electromagnetism Higgs mechanism Scientific phenomena named after people Stüeckelberg Stuckelberg action
is Wikipage redirect of	Stückelberg action Stuckelberg action
is known for of	Ernst Stueckelberg
is known for of	Ernst Stueckelberg
is foaf:primaryTopic of	wikipedia-en:Stueckelberg_action

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