Dualities and models in various dimensions

Working within the path-integral framework we first establish a duality between the partition functions of two U(1)gauge theories with a theta term in d =4space-time dimensions. Then, after a dimensional reduction to d =3 dimensions we arrive to the partition function of a U(1) gauge theory coupled...

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Autores principales: Moreno, Enrique Francisco, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
dualities
partition functions
dimensional reductions
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/160104
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-160104
record_format dspace
spelling I19-R120-10915-1601042023-11-14T20:06:51Z http://sedici.unlp.edu.ar/handle/10915/160104 Dualities and models in various dimensions Moreno, Enrique Francisco Schaposnik, Fidel Arturo 2021 2023-11-14T11:47:45Z en Física dualities partition functions dimensional reductions Working within the path-integral framework we first establish a duality between the partition functions of two U(1)gauge theories with a theta term in d =4space-time dimensions. Then, after a dimensional reduction to d =3 dimensions we arrive to the partition function of a U(1) gauge theory coupled to a scalar field with an action that exhibits a Dirac monopole solution. A subsequent reduction to d =2 dimensions leads to the partition function of a theory in which the gauge field decouples from two scalars which have non-trivial vortex-like solutions. Finally this d =2 partition function can be related to the bosonized version of the two-dimensional QED2(Schwinger) model. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
dualities
partition functions
dimensional reductions
spellingShingle Física
dualities
partition functions
dimensional reductions
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
Dualities and models in various dimensions
topic_facet Física
dualities
partition functions
dimensional reductions
description Working within the path-integral framework we first establish a duality between the partition functions of two U(1)gauge theories with a theta term in d =4space-time dimensions. Then, after a dimensional reduction to d =3 dimensions we arrive to the partition function of a U(1) gauge theory coupled to a scalar field with an action that exhibits a Dirac monopole solution. A subsequent reduction to d =2 dimensions leads to the partition function of a theory in which the gauge field decouples from two scalars which have non-trivial vortex-like solutions. Finally this d =2 partition function can be related to the bosonized version of the two-dimensional QED2(Schwinger) model.
format Articulo
Articulo
author Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_facet Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_sort Moreno, Enrique Francisco
title Dualities and models in various dimensions
title_short Dualities and models in various dimensions
title_full Dualities and models in various dimensions
title_fullStr Dualities and models in various dimensions
title_full_unstemmed Dualities and models in various dimensions
title_sort dualities and models in various dimensions
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/160104
work_keys_str_mv AT morenoenriquefrancisco dualitiesandmodelsinvariousdimensions
AT schaposnikfidelarturo dualitiesandmodelsinvariousdimensions
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