Dualities and models in various dimensions

Autores
Moreno, Enrique Francisco; Schaposnik, Fidel Arturo
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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
Materia
Física
dualities
partition functions
dimensional reductions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/160104

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spelling Dualities and models in various dimensionsMoreno, Enrique FranciscoSchaposnik, Fidel ArturoFísicadualitiespartition functionsdimensional reductionsWorking 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 Plata2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/160104enginfo:eu-repo/semantics/altIdentifier/issn/0370-2693info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physletb.2021.136620info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:41:56Zoai:sedici.unlp.edu.ar:10915/160104Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:41:56.557SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Dualities and models in various dimensions
title Dualities and models in various dimensions
spellingShingle Dualities and models in various dimensions
Moreno, Enrique Francisco
Física
dualities
partition functions
dimensional reductions
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
dc.creator.none.fl_str_mv Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author Moreno, Enrique Francisco
author_facet Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
author_role author
author2 Schaposnik, Fidel Arturo
author2_role author
dc.subject.none.fl_str_mv Física
dualities
partition functions
dimensional reductions
topic Física
dualities
partition functions
dimensional reductions
dc.description.none.fl_txt_mv 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
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.
publishDate 2021
dc.date.none.fl_str_mv 2021
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/10915/160104
url http://sedici.unlp.edu.ar/handle/10915/160104
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/doi/10.1016/j.physletb.2021.136620
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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