Jacobians of chiral transformations and two-dimensional bosonization

Details Jacobians of chiral transformations and two-dimensional bosonization Jacobians of chiral transformations and two-dimensional bosonization

1998-11-14

arxiv.org/abs/hep-th/9811137v4

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, uses Amssymb, minor corrections

Scientific paper

We formulate a complete path integral bosonization procedure for any fermionic theory in two dimensions. The method works equally well for massive and massless fermions, and is a generalization of an approach suggested earlier by Andrianov. The classical action of the bosons in the bosonized theory is identified with -i times the logarithm of the Jacobian of a local chiral transformation, with the boson fields as transformation parameters. Three examples, the Schwinger model, the massive Thirring model and massive non-Abelian bosonization, are worked out.

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