Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories
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/10.1016/j.nuclphysb.2018.07.024 http://hdl.handle.net/11449/184871 |
Resumo: | This work explores the quantum dynamics of the interaction between scalar (matter) and vectorial (intermediate) particles and studies their thermodynamic equilibrium in the grand-canonical ensemble. The aim of the article is to clarify the connection between the physical degrees of freedom of a theory in both the quantization process and the description of the thermodynamic equilibrium, in which we see an intimate connection between physical degrees of freedom, Gibbs free energy and the equipartition theorem. We have split the work into two sections. First, we analyze the quantum interaction in the context of the generalized scalar Duffin-Kemmer-Petiau quantum electrodynamics (GSDKP) by using the functional formalism. We build the Hamiltonian structure following the Dirac methodology, apply the Faddeev-Senjanovic procedure to obtain the transition amplitude in the generalized Coulomb gauge and, finally, use the Faddeev-Popov-DeWitt method to write the amplitude in covariant form in the no-mixing gauge. Subsequently, we exclusively use the Matsubara-Fradkin (MF) formalism in order to describe fields in thermodynamical equilibrium. The corresponding equations in thermodynamic equilibrium for the scalar, vectorial and ghost sectors are explicitly constructed from which the extraction of the partition function is straightforward. It is in the construction of the vectorial sector that the emergence and importance of the ghost fields are revealed: they eliminate the extra non-physical degrees of freedom of the vectorial sector thus maintaining the physical degrees of freedom. (C) 2018 The Authors. Published by Elsevier B.V. |
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Transition amplitude, partition function and the role of physical degrees of freedom in gauge theoriesThis work explores the quantum dynamics of the interaction between scalar (matter) and vectorial (intermediate) particles and studies their thermodynamic equilibrium in the grand-canonical ensemble. The aim of the article is to clarify the connection between the physical degrees of freedom of a theory in both the quantization process and the description of the thermodynamic equilibrium, in which we see an intimate connection between physical degrees of freedom, Gibbs free energy and the equipartition theorem. We have split the work into two sections. First, we analyze the quantum interaction in the context of the generalized scalar Duffin-Kemmer-Petiau quantum electrodynamics (GSDKP) by using the functional formalism. We build the Hamiltonian structure following the Dirac methodology, apply the Faddeev-Senjanovic procedure to obtain the transition amplitude in the generalized Coulomb gauge and, finally, use the Faddeev-Popov-DeWitt method to write the amplitude in covariant form in the no-mixing gauge. Subsequently, we exclusively use the Matsubara-Fradkin (MF) formalism in order to describe fields in thermodynamical equilibrium. The corresponding equations in thermodynamic equilibrium for the scalar, vectorial and ghost sectors are explicitly constructed from which the extraction of the partition function is straightforward. It is in the construction of the vectorial sector that the emergence and importance of the ghost fields are revealed: they eliminate the extra non-physical degrees of freedom of the vectorial sector thus maintaining the physical degrees of freedom. (C) 2018 The Authors. Published by Elsevier B.V.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Fed ABC, CCNH, Av Estados 5001, BR-09210580 Santo Andre, SP, BrazilUniv Estadual Paulista, IFT, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilUniv Estadual Paulista, IFT, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, SP, BrazilElsevier B.V.Universidade Federal do ABC (UFABC)Universidade Estadual Paulista (Unesp)Nogueira, A. A.Pimentel, B. M. [UNESP]Rabanal, L. [UNESP]2019-10-04T12:30:40Z2019-10-04T12:30:40Z2018-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article665-691http://dx.doi.org/10.1016/j.nuclphysb.2018.07.024Nuclear Physics B. Amsterdam: Elsevier Science Bv, v. 934, p. 665-691, 2018.0550-3213http://hdl.handle.net/11449/18487110.1016/j.nuclphysb.2018.07.024WOS:000445497400029Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics Binfo:eu-repo/semantics/openAccess2021-10-23T14:26:50Zoai:repositorio.unesp.br:11449/184871Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:51:04.457581Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
title |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
spellingShingle |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories Nogueira, A. A. |
title_short |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
title_full |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
title_fullStr |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
title_full_unstemmed |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
title_sort |
Transition amplitude, partition function and the role of physical degrees of freedom in gauge theories |
author |
Nogueira, A. A. |
author_facet |
Nogueira, A. A. Pimentel, B. M. [UNESP] Rabanal, L. [UNESP] |
author_role |
author |
author2 |
Pimentel, B. M. [UNESP] Rabanal, L. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Federal do ABC (UFABC) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Nogueira, A. A. Pimentel, B. M. [UNESP] Rabanal, L. [UNESP] |
description |
This work explores the quantum dynamics of the interaction between scalar (matter) and vectorial (intermediate) particles and studies their thermodynamic equilibrium in the grand-canonical ensemble. The aim of the article is to clarify the connection between the physical degrees of freedom of a theory in both the quantization process and the description of the thermodynamic equilibrium, in which we see an intimate connection between physical degrees of freedom, Gibbs free energy and the equipartition theorem. We have split the work into two sections. First, we analyze the quantum interaction in the context of the generalized scalar Duffin-Kemmer-Petiau quantum electrodynamics (GSDKP) by using the functional formalism. We build the Hamiltonian structure following the Dirac methodology, apply the Faddeev-Senjanovic procedure to obtain the transition amplitude in the generalized Coulomb gauge and, finally, use the Faddeev-Popov-DeWitt method to write the amplitude in covariant form in the no-mixing gauge. Subsequently, we exclusively use the Matsubara-Fradkin (MF) formalism in order to describe fields in thermodynamical equilibrium. The corresponding equations in thermodynamic equilibrium for the scalar, vectorial and ghost sectors are explicitly constructed from which the extraction of the partition function is straightforward. It is in the construction of the vectorial sector that the emergence and importance of the ghost fields are revealed: they eliminate the extra non-physical degrees of freedom of the vectorial sector thus maintaining the physical degrees of freedom. (C) 2018 The Authors. Published by Elsevier B.V. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-09-01 2019-10-04T12:30:40Z 2019-10-04T12:30:40Z |
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/10.1016/j.nuclphysb.2018.07.024 Nuclear Physics B. Amsterdam: Elsevier Science Bv, v. 934, p. 665-691, 2018. 0550-3213 http://hdl.handle.net/11449/184871 10.1016/j.nuclphysb.2018.07.024 WOS:000445497400029 |
url |
http://dx.doi.org/10.1016/j.nuclphysb.2018.07.024 http://hdl.handle.net/11449/184871 |
identifier_str_mv |
Nuclear Physics B. Amsterdam: Elsevier Science Bv, v. 934, p. 665-691, 2018. 0550-3213 10.1016/j.nuclphysb.2018.07.024 WOS:000445497400029 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics B |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
665-691 |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
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_ |
1808129365978906624 |