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arXiv · hep-th/9609202

Non Abelian Bosonization in Two and Three Dimensions

J. C. Le Guillou·E. Moreno·C. Nunez·F. A. Schaposnik
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Abstract

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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J. C. Le Guillou, E. Moreno, C. Nunez, F. A. Schaposnik. 1996-12-04. Non Abelian Bosonization in Two and Three Dimensions. https://doi.org/10.1016/s0550-3213(96)00676-1

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