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

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...

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Detalles Bibliográficos
Autores principales: Moreno, Enrique Francisco, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126085
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126085
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
spellingShingle Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
Dualities and bosonization of massless fermions in three-dimensional space-time
topic_facet Física
Physics
Quadratic equation
Path integral formulation
Three-dimensional space
Bosonization
Mathematical physics
Fermion
Massless particle
Quantum mechanics
Current algebra
Space time
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.
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 bosonization of massless fermions in three-dimensional 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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/126085
work_keys_str_mv AT morenoenriquefrancisco dualitiesandbosonizationofmasslessfermionsinthreedimensionalspacetime
AT schaposnikfidelarturo dualitiesandbosonizationofmasslessfermionsinthreedimensionalspacetime
bdutipo_str Repositorios
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