Non Abelian Bosonization in Two and Three Dimensions

We discuss non-abelian bosonization of two- and three-dimensional fermions using a pathintegral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action...

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Detalles Bibliográficos
Autores principales: Le Guillou, J. C., Moreno, Enrique Francisco, Núñez, Carlos, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1997
Materias:
Física
Particle physics
Fermion doubling
Physics
Abelian group
Path integral formulation
Dirac operator
Wess–Zumino–Witten model
Bosonization
Mathematical physics
Fermion
Current algebra
Action (physics)
Massless particle
Vector field
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123302
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123302
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
Fermion doubling
Physics
Abelian group
Path integral formulation
Dirac operator
Wess–Zumino–Witten model
Bosonization
Mathematical physics
Fermion
Current algebra
Bosonization
Action (physics)
Massless particle
Vector field
spellingShingle Física
Particle physics
Fermion doubling
Physics
Abelian group
Path integral formulation
Dirac operator
Wess–Zumino–Witten model
Bosonization
Mathematical physics
Fermion
Current algebra
Bosonization
Action (physics)
Massless particle
Vector field
Le Guillou, J. C.
Moreno, Enrique Francisco
Núñez, Carlos
Schaposnik, Fidel Arturo
Non Abelian Bosonization in Two and Three Dimensions
topic_facet Física
Particle physics
Fermion doubling
Physics
Abelian group
Path integral formulation
Dirac operator
Wess–Zumino–Witten model
Bosonization
Mathematical physics
Fermion
Current algebra
Bosonization
Action (physics)
Massless particle
Vector field
description We discuss non-abelian bosonization of two- and three-dimensional fermions using a pathintegral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action for massless two-dimensional fermions and to a Chem-Simons action for very massive three-dimensional fermions. One advantage of our approach is that it allows one to derive the exact bosonization recipe for fermion currents in a systematic way.
format Articulo
Preprint
author Le Guillou, J. C.
Moreno, Enrique Francisco
Núñez, Carlos
Schaposnik, Fidel Arturo
author_facet Le Guillou, J. C.
Moreno, Enrique Francisco
Núñez, Carlos
Schaposnik, Fidel Arturo
author_sort Le Guillou, J. C.
title Non Abelian Bosonization in Two and Three Dimensions
title_short Non Abelian Bosonization in Two and Three Dimensions
title_full Non Abelian Bosonization in Two and Three Dimensions
title_fullStr Non Abelian Bosonization in Two and Three Dimensions
title_full_unstemmed Non Abelian Bosonization in Two and Three Dimensions
title_sort non abelian bosonization in two and three dimensions
publishDate 1997
url http://sedici.unlp.edu.ar/handle/10915/123302
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AT morenoenriquefrancisco nonabelianbosonizationintwoandthreedimensions
AT nunezcarlos nonabelianbosonizationintwoandthreedimensions
AT schaposnikfidelarturo nonabelianbosonizationintwoandthreedimensions
bdutipo_str Repositorios
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