Non Abelian Bosonization in Two and Three Dimensions

Details Non Abelian Bosonization in Two and Three Dimensions Non Abelian Bosonization in Two and Three Dimensions

1996-09-25

arxiv.org/abs/hep-th/9609202v2

Nucl.Phys. B484 (1997) 682-696

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTex, no figures. Several changes, version to appear in Nuc. Phys. B

Scientific paper

10.1016/S0550-3213(96)00676-1

We discuss non-Abelian bosonization of two and three dimensional fermions using a path-integral 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 Chern-Simons action for very massive three dimensional fermions. One advantage of our approach is that it allows to derive the exact bosonization recipe for fermion currents in a systematic way.

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