Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.106.096007 http://hdl.handle.net/11449/247901 |
Resumo: | We study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated ansatz for this vertex that satisfies the required discrete symmetries under parity, time reversal, and charge conjugation operations. Furthermore, it reproduces its asymptotic perturbative limit in the weak coupling regime and ensures the massless electron propagator is multiplicatively renormalizable in its leading logarithmic expansion. Employing this vertex ansatz, we solve the gap equation to compute dynamically generated electron mass whose dependence on the electromagnetic coupling is found to satisfy Miransky scaling law. We also investigate the gauge dependence of this dynamical mass as well as that of the critical coupling above which chiral symmetry is dynamically broken. As a litmus test of our vertex construction, both these quantities are rendered virtually gauge independent within a certain interval of values considered for the covariant gauge parameter. |
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Repositório Institucional da UNESP |
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Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invarianceWe study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated ansatz for this vertex that satisfies the required discrete symmetries under parity, time reversal, and charge conjugation operations. Furthermore, it reproduces its asymptotic perturbative limit in the weak coupling regime and ensures the massless electron propagator is multiplicatively renormalizable in its leading logarithmic expansion. Employing this vertex ansatz, we solve the gap equation to compute dynamically generated electron mass whose dependence on the electromagnetic coupling is found to satisfy Miransky scaling law. We also investigate the gauge dependence of this dynamical mass as well as that of the critical coupling above which chiral symmetry is dynamically broken. As a litmus test of our vertex construction, both these quantities are rendered virtually gauge independent within a certain interval of values considered for the covariant gauge parameter.Instituto de Física y Matemáticas Universidad Michoacana de San Nicolás de Hidalgo, MichoacánInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, SPCentro de Ciencias Exactas Universidad del Bío-Bío., Avda. Andrés Bello 720, Casilla 447Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, SPUniversidad Michoacana de San Nicolás de HidalgoUniversidade Estadual Paulista (UNESP)Universidad del Bío-Bío.Albino, L.Bashir, A.Mizher, A. J. [UNESP]Raya, A.2023-07-29T13:29:02Z2023-07-29T13:29:02Z2022-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.106.096007Physical Review D, v. 106, n. 9, 2022.2470-00292470-0010http://hdl.handle.net/11449/24790110.1103/PhysRevD.106.0960072-s2.0-85142135852Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2023-07-29T13:29:02Zoai:repositorio.unesp.br:11449/247901Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:31:05.770666Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
title |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
spellingShingle |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance Albino, L. |
title_short |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
title_full |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
title_fullStr |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
title_full_unstemmed |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
title_sort |
Electron-photon vertex and dynamical chiral symmetry breaking in reduced QED: An advanced study of gauge invariance |
author |
Albino, L. |
author_facet |
Albino, L. Bashir, A. Mizher, A. J. [UNESP] Raya, A. |
author_role |
author |
author2 |
Bashir, A. Mizher, A. J. [UNESP] Raya, A. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidad Michoacana de San Nicolás de Hidalgo Universidade Estadual Paulista (UNESP) Universidad del Bío-Bío. |
dc.contributor.author.fl_str_mv |
Albino, L. Bashir, A. Mizher, A. J. [UNESP] Raya, A. |
description |
We study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated ansatz for this vertex that satisfies the required discrete symmetries under parity, time reversal, and charge conjugation operations. Furthermore, it reproduces its asymptotic perturbative limit in the weak coupling regime and ensures the massless electron propagator is multiplicatively renormalizable in its leading logarithmic expansion. Employing this vertex ansatz, we solve the gap equation to compute dynamically generated electron mass whose dependence on the electromagnetic coupling is found to satisfy Miransky scaling law. We also investigate the gauge dependence of this dynamical mass as well as that of the critical coupling above which chiral symmetry is dynamically broken. As a litmus test of our vertex construction, both these quantities are rendered virtually gauge independent within a certain interval of values considered for the covariant gauge parameter. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-11-01 2023-07-29T13:29:02Z 2023-07-29T13:29:02Z |
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/10.1103/PhysRevD.106.096007 Physical Review D, v. 106, n. 9, 2022. 2470-0029 2470-0010 http://hdl.handle.net/11449/247901 10.1103/PhysRevD.106.096007 2-s2.0-85142135852 |
url |
http://dx.doi.org/10.1103/PhysRevD.106.096007 http://hdl.handle.net/11449/247901 |
identifier_str_mv |
Physical Review D, v. 106, n. 9, 2022. 2470-0029 2470-0010 10.1103/PhysRevD.106.096007 2-s2.0-85142135852 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus 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_ |
1808128371992821760 |