Supersymmetry and bosonization in three dimensions

We discuss on the possible existence of a supersymmetric invariance in purely fermionic planar systems and its relation to the fermion-boson mapping in three-dimensional quantum field theory. We consider, as a very simple example, the bosonization of free massive fermions and show that, under certai...

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Autores principales: Edelstein Glaubach, José Daniel, Núñez, Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1998
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123076
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id I19-R120-10915-123076
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Particle physics
Transformation (function)
Quantum field theory
Supersymmetry
Physics
Limit (mathematics)
Simple (abstract algebra)
Bosonization
Theoretical physics
Fermion
Massless particle
spellingShingle Física
Particle physics
Transformation (function)
Quantum field theory
Supersymmetry
Physics
Limit (mathematics)
Simple (abstract algebra)
Bosonization
Theoretical physics
Fermion
Massless particle
Edelstein Glaubach, José Daniel
Núñez, Carlos
Supersymmetry and bosonization in three dimensions
topic_facet Física
Particle physics
Transformation (function)
Quantum field theory
Supersymmetry
Physics
Limit (mathematics)
Simple (abstract algebra)
Bosonization
Theoretical physics
Fermion
Massless particle
description We discuss on the possible existence of a supersymmetric invariance in purely fermionic planar systems and its relation to the fermion-boson mapping in three-dimensional quantum field theory. We consider, as a very simple example, the bosonization of free massive fermions and show that, under certain conditions on the masses, this model displays a supersymmetric-like invariance in the low energy regime. We construct the purely fermionic expression for the supercurrent and the non-linear supersymmetry transformation laws. We argue that the supersymmetry is absent in the limit of massless fermions where the bosonized theory is non-local.
format Articulo
Preprint
author Edelstein Glaubach, José Daniel
Núñez, Carlos
author_facet Edelstein Glaubach, José Daniel
Núñez, Carlos
author_sort Edelstein Glaubach, José Daniel
title Supersymmetry and bosonization in three dimensions
title_short Supersymmetry and bosonization in three dimensions
title_full Supersymmetry and bosonization in three dimensions
title_fullStr Supersymmetry and bosonization in three dimensions
title_full_unstemmed Supersymmetry and bosonization in three dimensions
title_sort supersymmetry and bosonization in three dimensions
publishDate 1998
url http://sedici.unlp.edu.ar/handle/10915/123076
work_keys_str_mv AT edelsteinglaubachjosedaniel supersymmetryandbosonizationinthreedimensions
AT nunezcarlos supersymmetryandbosonizationinthreedimensions
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