Nonlocal parity transformations and anomalies

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 re...

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Autores principales: Ciccolini, M. L., Fosco, Cesar Daniel, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132133
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132133
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
spellingShingle Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
Ciccolini, M. L.
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
Nonlocal parity transformations and anomalies
topic_facet Ciencias Exactas
Física
parity anomaly
massless Dirac field
Chern–Simons action
gauge field
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.
format Articulo
Articulo
author Ciccolini, M. L.
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_facet Ciccolini, M. L.
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_sort Ciccolini, M. L.
title Nonlocal parity transformations and anomalies
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
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/132133
work_keys_str_mv AT ciccoliniml nonlocalparitytransformationsandanomalies
AT foscocesardaniel nonlocalparitytransformationsandanomalies
AT schaposnikfidelarturo nonlocalparitytransformationsandanomalies
bdutipo_str Repositorios
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