CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY

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 const...

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Autores:
Zambrano, German E.
Pimentel, Bruto M.
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/67310
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/67310
http://bdigital.unal.edu.co/68339/
Palabra clave:
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Método de Dirac
Formalismo de Faddeev-Jackiw
Análisis de vínculos
Corchetes de Dirac
Corchetes Generalizados
Dirac's method
Faddeev-Jackiw's formalism
Constraint analysis
Dirac brackets
Generalized brackets
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_5cf3f53484dfc546d277d99b0c159093
oai_identifier_str oai:repositorio.unal.edu.co:unal/67310
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Zambrano, German E.b3af0636-1a35-4835-9a42-56d97ebc7578300Pimentel, Bruto M.bcb0120d-1b73-4127-8ed1-9b2d63d95d743002019-07-03T03:58:46Z2019-07-03T03:58:46Z2018-01-01ISSN: 2500-8013https://repositorio.unal.edu.co/handle/unal/67310http://bdigital.unal.edu.co/68339/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.La electrodinámica de Proca describe una teoría de fotones masivos que no es invariante de gauge. En este trabajo se mostrará que la libertad de gauge es restaurada si un campo escalar es apropiadamente incorporado en la teoría. El método de Dirac es utilizado para realizar un detallado análisis de la estructura de vínculos de la misma. Apropiadas condiciones de gauge fueron derivadas con el fin de eliminar los vínculos de primera clase y obtener los corchetes de Dirac entre las variables dinámicas independientes. De manera alternativa, la formulación simplectica generalizada es utilizada para estudiar la teoría electromagnética de Proca invariante de gauge. Después de fijar el gauge, los corchetes generalizados son calculados y la equivalencia con los corchetes de Dirac es mostrada.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Físicahttps://revistas.unal.edu.co/index.php/momento/article/view/69823Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de FísicaMOMENTO - Revista de FísicaZambrano, German E. and Pimentel, Bruto M. (2018) CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY. MOMENTO (56). pp. 26-44. ISSN 2500-801353 Física / Physics5 Ciencias naturales y matemáticas / ScienceMétodo de DiracFormalismo de Faddeev-JackiwAnálisis de vínculosCorchetes de DiracCorchetes GeneralizadosDirac's methodFaddeev-Jackiw's formalismConstraint analysisDirac bracketsGeneralized bracketsCANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORYArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL69823-368461-2-PB.pdfapplication/pdf324591https://repositorio.unal.edu.co/bitstream/unal/67310/1/69823-368461-2-PB.pdf9fc78ea8dd235939b41ce48ede602fdfMD51THUMBNAIL69823-368461-2-PB.pdf.jpg69823-368461-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg6681https://repositorio.unal.edu.co/bitstream/unal/67310/2/69823-368461-2-PB.pdf.jpgca2910c82585369fd02126c26a1bdaf8MD52unal/67310oai:repositorio.unal.edu.co:unal/673102024-05-20 23:10:13.91Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.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
53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Método de Dirac
Formalismo de Faddeev-Jackiw
Análisis de vínculos
Corchetes de Dirac
Corchetes Generalizados
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
dc.creator.fl_str_mv Zambrano, German E.
Pimentel, Bruto M.
dc.contributor.author.spa.fl_str_mv Zambrano, German E.
Pimentel, Bruto M.
dc.subject.ddc.spa.fl_str_mv 53 Física / Physics
5 Ciencias naturales y matemáticas / Science
topic 53 Física / Physics
5 Ciencias naturales y matemáticas / Science
Método de Dirac
Formalismo de Faddeev-Jackiw
Análisis de vínculos
Corchetes de Dirac
Corchetes Generalizados
Dirac's method
Faddeev-Jackiw's formalism
Constraint analysis
Dirac brackets
Generalized brackets
dc.subject.proposal.spa.fl_str_mv Método de Dirac
Formalismo de Faddeev-Jackiw
Análisis de vínculos
Corchetes de Dirac
Corchetes Generalizados
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.issued.spa.fl_str_mv 2018-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T03:58:46Z
dc.date.available.spa.fl_str_mv 2019-07-03T03:58:46Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2500-8013
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/67310
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/68339/
identifier_str_mv ISSN: 2500-8013
url https://repositorio.unal.edu.co/handle/unal/67310
http://bdigital.unal.edu.co/68339/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/momento/article/view/69823
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de Física
MOMENTO - Revista de Física
dc.relation.references.spa.fl_str_mv Zambrano, German E. and Pimentel, Bruto M. (2018) CANONICAL STRUCTURE OF GAUGE INVARIANCE PROCA'S ELECTRODYNAMICS THEORY. MOMENTO (56). pp. 26-44. ISSN 2500-8013
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Física
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/67310/1/69823-368461-2-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/67310/2/69823-368461-2-PB.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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