The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fe...

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Detalles Bibliográficos
Autores principales: Fradkin, Eduardo, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1994
Materias:
Ciencias Exactas
Física
Bosonization
Thirring model
Maxwell-Chern-Simons theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123321
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123321
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Bosonization
Thirring model
Maxwell-Chern-Simons theory
spellingShingle Ciencias Exactas
Física
Bosonization
Thirring model
Maxwell-Chern-Simons theory
Fradkin, Eduardo
Schaposnik, Fidel Arturo
The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
topic_facet Ciencias Exactas
Física
Bosonization
Thirring model
Maxwell-Chern-Simons theory
description We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.
format Articulo
Preprint
author Fradkin, Eduardo
Schaposnik, Fidel Arturo
author_facet Fradkin, Eduardo
Schaposnik, Fidel Arturo
author_sort Fradkin, Eduardo
title The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
title_short The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
title_full The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
title_fullStr The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
title_full_unstemmed The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
title_sort fermion-boson mapping in three dimensional quantum field theory
publishDate 1994
url http://sedici.unlp.edu.ar/handle/10915/123321
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