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
Descripción
Sumario: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.

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