Making sense of singular gauge transformations in (1+1) and (2+1) fermion models

We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions, in interaction with a gauge field, by performing local transformations of the fermions in the functional integral. This could always be done if singular (large) gauge transformations were allowed, since any gauge field conf...

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Detalles Bibliográficos
Autores principales: Fosco, Cesar Daniel, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Ciencias Exactas
Física
fermion fields
gauge transformations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132115
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132115
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
fermion fields
gauge transformations
spellingShingle Ciencias Exactas
Física
fermion fields
gauge transformations
Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
topic_facet Ciencias Exactas
Física
fermion fields
gauge transformations
description We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions, in interaction with a gauge field, by performing local transformations of the fermions in the functional integral. This could always be done if singular (large) gauge transformations were allowed, since any gauge field configuration may be represented as a singular pure gauge field. However, the effect of a singular gauge transformation of the fermions is equivalent to the one of a regular transformation with a non-trivial action on the spinorial indices. For example, in the two dimensional case, singular gauge transformations lead naturally to chiral transformations, and hence to the usual decoupling mechanism based on Fujikawa Jacobians. In 2+1 dimensions, using the same procedure, different transformations emerge, which also give rise to Fujikawa Jacobians. We apply this idea to obtain the v.e.v of the fermionic current in a background field, in terms of the Jacobian for an infinitesimal decoupling transformation, finding the parity violating result.
format Articulo
Articulo
author Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_facet Fosco, Cesar Daniel
Schaposnik, Fidel Arturo
author_sort Fosco, Cesar Daniel
title Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
title_short Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
title_full Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
title_fullStr Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
title_full_unstemmed Making sense of singular gauge transformations in (1+1) and (2+1) fermion models
title_sort making sense of singular gauge transformations in (1+1) and (2+1) fermion models
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/132115
work_keys_str_mv AT foscocesardaniel makingsenseofsingulargaugetransformationsin11and21fermionmodels
AT schaposnikfidelarturo makingsenseofsingulargaugetransformationsin11and21fermionmodels
bdutipo_str Repositorios
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