Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.102.096023 http://hdl.handle.net/11449/228875 |
Resumo: | Mixed-dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four dimensional. Here we investigate dynamical breaking of chiral symmetry in the framework of a mixed-dimensional theory that has been successful in describing graphene and other planar Dirac materials and has been dubbed pseudo or reduced quantum electrodynamics. We explore the interplay between the gauge and fermion sectors when a Chern-Simons term is considered and, by exploring the tensor structure of the fermion self-energy, we show that the radiative corrections may induce both a Dirac and a Haldane mass term. Furthermore, by solving the corresponding Schwinger-Dyson equation in a suitable truncation, we nonperturbatively explore the dynamical generation of fermion masses for different values of the electromagnetic coupling and the Chern-Simons coefficient. We also show that for definite parameter values, the contributions from each chirality cancel out and the chiral symmetry may be restored. Possible implications of this result for physical systems, in particular on what concerns the chiral magnetic effect, are discussed. |
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Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QEDMixed-dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four dimensional. Here we investigate dynamical breaking of chiral symmetry in the framework of a mixed-dimensional theory that has been successful in describing graphene and other planar Dirac materials and has been dubbed pseudo or reduced quantum electrodynamics. We explore the interplay between the gauge and fermion sectors when a Chern-Simons term is considered and, by exploring the tensor structure of the fermion self-energy, we show that the radiative corrections may induce both a Dirac and a Haldane mass term. Furthermore, by solving the corresponding Schwinger-Dyson equation in a suitable truncation, we nonperturbatively explore the dynamical generation of fermion masses for different values of the electromagnetic coupling and the Chern-Simons coefficient. We also show that for definite parameter values, the contributions from each chirality cancel out and the chiral symmetry may be restored. Possible implications of this result for physical systems, in particular on what concerns the chiral magnetic effect, are discussed.Instituto de Física y Matemáticas Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria. Francisco J. Míjica s/nInstituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IICentro de Ciencias Exactas - Universidad Del Bio-Bio, Avda. Andrés Bello 720, Casilla 447Instituto de Física Teórica Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco IIUniversidad Michoacana de San Nicolás de HidalgoUniversidade Estadual Paulista (UNESP)Centro de Ciencias Exactas - Universidad Del Bio-BioOlivares, Juan Angel CasimiroAlbino, Luis [UNESP]Mizher, Ana Julia [UNESP]Raya, Alfredo2022-04-29T08:29:05Z2022-04-29T08:29:05Z2020-11-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.102.096023Physical Review D, v. 102, n. 9, 2020.2470-00292470-0010http://hdl.handle.net/11449/22887510.1103/PhysRevD.102.0960232-s2.0-85097206159Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Dinfo:eu-repo/semantics/openAccess2022-04-29T08:29:05Zoai:repositorio.unesp.br:11449/228875Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:29:05Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
title |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
spellingShingle |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED Olivares, Juan Angel Casimiro |
title_short |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
title_full |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
title_fullStr |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
title_full_unstemmed |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
title_sort |
Influence of a Chern-Simons term in the dynamical fermion masses in reduced or pseudo QED |
author |
Olivares, Juan Angel Casimiro |
author_facet |
Olivares, Juan Angel Casimiro Albino, Luis [UNESP] Mizher, Ana Julia [UNESP] Raya, Alfredo |
author_role |
author |
author2 |
Albino, Luis [UNESP] Mizher, Ana Julia [UNESP] Raya, Alfredo |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidad Michoacana de San Nicolás de Hidalgo Universidade Estadual Paulista (UNESP) Centro de Ciencias Exactas - Universidad Del Bio-Bio |
dc.contributor.author.fl_str_mv |
Olivares, Juan Angel Casimiro Albino, Luis [UNESP] Mizher, Ana Julia [UNESP] Raya, Alfredo |
description |
Mixed-dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four dimensional. Here we investigate dynamical breaking of chiral symmetry in the framework of a mixed-dimensional theory that has been successful in describing graphene and other planar Dirac materials and has been dubbed pseudo or reduced quantum electrodynamics. We explore the interplay between the gauge and fermion sectors when a Chern-Simons term is considered and, by exploring the tensor structure of the fermion self-energy, we show that the radiative corrections may induce both a Dirac and a Haldane mass term. Furthermore, by solving the corresponding Schwinger-Dyson equation in a suitable truncation, we nonperturbatively explore the dynamical generation of fermion masses for different values of the electromagnetic coupling and the Chern-Simons coefficient. We also show that for definite parameter values, the contributions from each chirality cancel out and the chiral symmetry may be restored. Possible implications of this result for physical systems, in particular on what concerns the chiral magnetic effect, are discussed. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-11-24 2022-04-29T08:29:05Z 2022-04-29T08:29:05Z |
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.102.096023 Physical Review D, v. 102, n. 9, 2020. 2470-0029 2470-0010 http://hdl.handle.net/11449/228875 10.1103/PhysRevD.102.096023 2-s2.0-85097206159 |
url |
http://dx.doi.org/10.1103/PhysRevD.102.096023 http://hdl.handle.net/11449/228875 |
identifier_str_mv |
Physical Review D, v. 102, n. 9, 2020. 2470-0029 2470-0010 10.1103/PhysRevD.102.096023 2-s2.0-85097206159 |
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 |
|
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1803047460071800832 |