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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Formato: | Articulo |
Lenguaje: | Inglés |
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2013
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/126085 |
Aporte de: |
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I19-R120-10915-126085 |
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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 |
_version_ |
1764820450086486016 |