Explicit Bosonization of the Massive Thirring Model in 3+1 Dimensions

Details Explicit Bosonization of the Massive Thirring Model in 3+1 Dimensions Explicit Bosonization of the Massive Thirring Model in 3+1 Dimensions

1996-07-04

arxiv.org/abs/hep-th/9607040v1

Phys.Rev. D56 (1997) 3763-3765

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 7 pages

Scientific paper

10.1103/PhysRevD.56.3763

We bosonize the Massive Thirring Model in 3+1D for small coupling constant and arbitrary mass. The bosonized action is explicitly obtained both in terms of a Kalb-Ramond tensor field as well as in terms of a dual vector field. An exact bosonization formula for the current is derived. The small and large mass limits of the bosonized theory are examined in both the direct and dual forms. We finally obtain the exact bosonization of the free fermion with an arbitrary mass.

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