Nonlocal parity transformations and anomalies

Autores
Ciccolini, M. L.; Fosco, Cesar Daniel; Schaposnik, Fidel Arturo
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized action. That Jacobian is well-defined, finite, and yields the standard Chern-Simons term when the cutoff tends to infinity.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/132133
Acceder
id SEDICI_cebcad43b7e06b5afd596570ca1f5957
oai_identifier_str oai:sedici.unlp.edu.ar:10915/132133
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Nonlocal parity transformations and anomaliesCiccolini, M. L.Fosco, Cesar DanielSchaposnik, Fidel ArturoCiencias ExactasFísicaparity anomalymassless Dirac fieldChern–Simons actiongauge fieldWe present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized action. That Jacobian is well-defined, finite, and yields the standard Chern-Simons term when the cutoff tends to infinity.Facultad de Ciencias Exactas2000-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf214-218http://sedici.unlp.edu.ar/handle/10915/132133enginfo:eu-repo/semantics/altIdentifier/issn/0370-2693info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0006248info:eu-repo/semantics/altIdentifier/doi/10.1016/s0370-2693(00)01059-5info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:12:12Zoai:sedici.unlp.edu.ar:10915/132133Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:12.711SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Nonlocal parity transformations and anomalies
title Nonlocal parity transformations and anomalies
spellingShingle Nonlocal parity transformations and anomalies
Ciccolini, M. L.
Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
title_short Nonlocal parity transformations and anomalies
title_full Nonlocal parity transformations and anomalies
title_fullStr Nonlocal parity transformations and anomalies
title_full_unstemmed Nonlocal parity transformations and anomalies
title_sort Nonlocal parity transformations and anomalies
dc.creator.none.fl_str_mv Ciccolini, M. L.
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author Ciccolini, M. L.
author_facet Ciccolini, M. L.
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_role author
author2 Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
topic Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
dc.description.none.fl_txt_mv We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized action. That Jacobian is well-defined, finite, and yields the standard Chern-Simons term when the cutoff tends to infinity.
Facultad de Ciencias Exactas
description We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized action. That Jacobian is well-defined, finite, and yields the standard Chern-Simons term when the cutoff tends to infinity.
publishDate 2000
dc.date.none.fl_str_mv 2000-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/132133
url http://sedici.unlp.edu.ar/handle/10915/132133
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0370-2693
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0006248
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0370-2693(00)01059-5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
214-218
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
_version_ 1846783480433737728
score 12.982451

Publicaciones similares