Gauge Covariance and the Chiral Condenate in QED3

Detalhes bibliográficos
Autor(a) principal: Bashir,A.
Data de Publicação: 2007
Outros Autores: Raya,A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200024
Resumo: The ambiguities associated with the lack of gauge invariance in the non-perturbative truncations of Schwinger-Dyson equations (SDEs) are a challenging problem which has not yet been resolved in a decisive fashion. Pursuing this aim, we study dynamical chiral symmetry breaking in quantum electrodynamics in three space-time dimensions (QED3). We investigate the gauge dependence of the chiral condensate both in the quenched and the unquenched versions of the theory and emphasize the importance of taking into account the gauge covariance properties of the fermion propagator as dictated by its Landau-Khalatnikov-Fradkin transformation (LKFT). We present numerical solutions of the SDE of the fermion propagator which respect Ward-Green-Takahashi identities (WGTI) and LKFT simultaneously. As a striking consequence, we obtain a practically gauge independent chiral condensate.
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spelling Gauge Covariance and the Chiral Condenate in QED3Schwinger-Dyson equationsDynamical Chiral Symmetry BreakingLandau-Khalatnikov-Fradkin transformationsThe ambiguities associated with the lack of gauge invariance in the non-perturbative truncations of Schwinger-Dyson equations (SDEs) are a challenging problem which has not yet been resolved in a decisive fashion. Pursuing this aim, we study dynamical chiral symmetry breaking in quantum electrodynamics in three space-time dimensions (QED3). We investigate the gauge dependence of the chiral condensate both in the quenched and the unquenched versions of the theory and emphasize the importance of taking into account the gauge covariance properties of the fermion propagator as dictated by its Landau-Khalatnikov-Fradkin transformation (LKFT). We present numerical solutions of the SDE of the fermion propagator which respect Ward-Green-Takahashi identities (WGTI) and LKFT simultaneously. As a striking consequence, we obtain a practically gauge independent chiral condensate.Sociedade Brasileira de Física2007-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200024Brazilian Journal of Physics v.37 n.1b 2007reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332007000200024info:eu-repo/semantics/openAccessBashir,A.Raya,A.eng2007-05-11T00:00:00Zoai:scielo:S0103-97332007000200024Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-05-11T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Gauge Covariance and the Chiral Condenate in QED3
title Gauge Covariance and the Chiral Condenate in QED3
spellingShingle Gauge Covariance and the Chiral Condenate in QED3
Bashir,A.
Schwinger-Dyson equations
Dynamical Chiral Symmetry Breaking
Landau-Khalatnikov-Fradkin transformations
title_short Gauge Covariance and the Chiral Condenate in QED3
title_full Gauge Covariance and the Chiral Condenate in QED3
title_fullStr Gauge Covariance and the Chiral Condenate in QED3
title_full_unstemmed Gauge Covariance and the Chiral Condenate in QED3
title_sort Gauge Covariance and the Chiral Condenate in QED3
author Bashir,A.
author_facet Bashir,A.
Raya,A.
author_role author
author2 Raya,A.
author2_role author
dc.contributor.author.fl_str_mv Bashir,A.
Raya,A.
dc.subject.por.fl_str_mv Schwinger-Dyson equations
Dynamical Chiral Symmetry Breaking
Landau-Khalatnikov-Fradkin transformations
topic Schwinger-Dyson equations
Dynamical Chiral Symmetry Breaking
Landau-Khalatnikov-Fradkin transformations
description The ambiguities associated with the lack of gauge invariance in the non-perturbative truncations of Schwinger-Dyson equations (SDEs) are a challenging problem which has not yet been resolved in a decisive fashion. Pursuing this aim, we study dynamical chiral symmetry breaking in quantum electrodynamics in three space-time dimensions (QED3). We investigate the gauge dependence of the chiral condensate both in the quenched and the unquenched versions of the theory and emphasize the importance of taking into account the gauge covariance properties of the fermion propagator as dictated by its Landau-Khalatnikov-Fradkin transformation (LKFT). We present numerical solutions of the SDE of the fermion propagator which respect Ward-Green-Takahashi identities (WGTI) and LKFT simultaneously. As a striking consequence, we obtain a practically gauge independent chiral condensate.
publishDate 2007
dc.date.none.fl_str_mv 2007-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200024
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000200024
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332007000200024
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.37 n.1b 2007
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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