CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.15446/mo.n56.69823 http://hdl.handle.net/11449/164364 |
Resumo: | Proca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated into the theory. We followed the Dirac's technique to perform a detailed analysis of the constraint structure of the theory. Appropriate gauge conditions were derived to eliminate the first class constraints and obtain the Dirac's brackets of the independent dynamical variables. Alternatively, the generalized symplectic formalism method is used to study the gauge invariance Proca's electrodynamics theory. After fixing the gauge, the generalized brackets are calculated and the equivalence with the Dirac's brackets is shown. |
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Repositório Institucional da UNESP |
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CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORYDirac's methodFaddeev-Jackiw's formalismConstraint analysisDirac bracketsGeneralized bracketsProca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated into the theory. We followed the Dirac's technique to perform a detailed analysis of the constraint structure of the theory. Appropriate gauge conditions were derived to eliminate the first class constraints and obtain the Dirac's brackets of the independent dynamical variables. Alternatively, the generalized symplectic formalism method is used to study the gauge invariance Proca's electrodynamics theory. After fixing the gauge, the generalized brackets are calculated and the equivalence with the Dirac's brackets is shown.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)VIPRI-UDENARUniv Narino, Dept Fis, Calle 18 Cra 50, San Juan De Pasto, Narino, ColombiaSao Paulo State Univ, Inst Fis Teor, Caixa Postal 70532-2, BR-01156970 Sao Paulo, SP, BrazilSao Paulo State Univ, Inst Fis Teor, Caixa Postal 70532-2, BR-01156970 Sao Paulo, SP, BrazilUniv Nacl Colombia, Fac SciUniv NarinoUniversidade Estadual Paulista (Unesp)Zambrano, German E. R.Pimentel, Bruto M. [UNESP]2018-11-26T17:54:15Z2018-11-26T17:54:15Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article26-44application/pdfhttp://dx.doi.org/10.15446/mo.n56.69823Momento-revista De Fisica. Bogota: Univ Nacl Colombia, Fac Sci, n. 56, p. 26-44, 2018.0121-4470http://hdl.handle.net/11449/16436410.15446/mo.n56.69823WOS:000437028200004WOS000437028200004.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMomento-revista De Fisicainfo:eu-repo/semantics/openAccess2023-10-07T06:09:09Zoai:repositorio.unesp.br:11449/164364Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:17:08.448376Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
title |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
spellingShingle |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY Zambrano, German E. R. Dirac's method Faddeev-Jackiw's formalism Constraint analysis Dirac brackets Generalized brackets |
title_short |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
title_full |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
title_fullStr |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
title_full_unstemmed |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
title_sort |
CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY |
author |
Zambrano, German E. R. |
author_facet |
Zambrano, German E. R. Pimentel, Bruto M. [UNESP] |
author_role |
author |
author2 |
Pimentel, Bruto M. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Univ Narino Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Zambrano, German E. R. Pimentel, Bruto M. [UNESP] |
dc.subject.por.fl_str_mv |
Dirac's method Faddeev-Jackiw's formalism Constraint analysis Dirac brackets Generalized brackets |
topic |
Dirac's method Faddeev-Jackiw's formalism Constraint analysis Dirac brackets Generalized brackets |
description |
Proca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated into the theory. We followed the Dirac's technique to perform a detailed analysis of the constraint structure of the theory. Appropriate gauge conditions were derived to eliminate the first class constraints and obtain the Dirac's brackets of the independent dynamical variables. Alternatively, the generalized symplectic formalism method is used to study the gauge invariance Proca's electrodynamics theory. After fixing the gauge, the generalized brackets are calculated and the equivalence with the Dirac's brackets is shown. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-11-26T17:54:15Z 2018-11-26T17:54:15Z 2018-01-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.15446/mo.n56.69823 Momento-revista De Fisica. Bogota: Univ Nacl Colombia, Fac Sci, n. 56, p. 26-44, 2018. 0121-4470 http://hdl.handle.net/11449/164364 10.15446/mo.n56.69823 WOS:000437028200004 WOS000437028200004.pdf |
url |
http://dx.doi.org/10.15446/mo.n56.69823 http://hdl.handle.net/11449/164364 |
identifier_str_mv |
Momento-revista De Fisica. Bogota: Univ Nacl Colombia, Fac Sci, n. 56, p. 26-44, 2018. 0121-4470 10.15446/mo.n56.69823 WOS:000437028200004 WOS000437028200004.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Momento-revista De Fisica |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
26-44 application/pdf |
dc.publisher.none.fl_str_mv |
Univ Nacl Colombia, Fac Sci |
publisher.none.fl_str_mv |
Univ Nacl Colombia, Fac Sci |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128340993769472 |