Dualities and bosonization of massless fermions in three-dimensional space-time

Autores
Moreno, Enrique Francisco; Schaposnik, Fidel Arturo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell--Chern-Simons--type theory, a nonlocal self-dual--type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.
Instituto de Física La Plata
Materia
Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
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:10915/126085
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126085
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Dualities and bosonization of massless fermions in three-dimensional space-timeMoreno, Enrique FranciscoSchaposnik, Fidel ArturoFísicaPhysicsQuadratic equationPath integral formulationThree-dimensional spaceBosonizationMathematical physicsFermionMassless particleQuantum mechanicsCurrent algebraSpace timeWe study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell--Chern-Simons--type theory, a nonlocal self-dual--type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.Instituto de Física La Plata2013-07-19info: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/10915/126085enginfo:eu-repo/semantics/altIdentifier/issn/1550-7998info:eu-repo/semantics/altIdentifier/issn/1550-2368info:eu-repo/semantics/altIdentifier/arxiv/1303.6488info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.88.025033info: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:UNLP2025-10-15T11:22:06Zoai:sedici.unlp.edu.ar:10915/126085Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:22:06.432SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Dualities and bosonization of massless fermions in three-dimensional space-time
title Dualities and bosonization of massless fermions in three-dimensional space-time
spellingShingle Dualities and bosonization of massless fermions in three-dimensional space-time
Moreno, Enrique Francisco
Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
title_short Dualities and bosonization of massless fermions in three-dimensional space-time
title_full Dualities and bosonization of massless fermions in three-dimensional space-time
title_fullStr Dualities and bosonization of massless fermions in three-dimensional space-time
title_full_unstemmed Dualities and bosonization of massless fermions in three-dimensional space-time
title_sort Dualities and bosonization of massless fermions in three-dimensional space-time
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
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
topic Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
dc.description.none.fl_txt_mv We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell--Chern-Simons--type theory, a nonlocal self-dual--type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.
Instituto de Física La Plata
description We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell--Chern-Simons--type theory, a nonlocal self-dual--type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.
publishDate 2013
dc.date.none.fl_str_mv 2013-07-19
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/10915/126085
url http://sedici.unlp.edu.ar/handle/10915/126085
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1550-7998
info:eu-repo/semantics/altIdentifier/issn/1550-2368
info:eu-repo/semantics/altIdentifier/arxiv/1303.6488
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.88.025033
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
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
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score 13.22299

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