Explicit bosonization of the massive Thirring model in3+1dimensions

1996/07/04 by R. Banerjee, Rabin Banerjee, E. C. Marino · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.56.3763

published as Phys.Rev. D56 (1997) 3763-3765 · Latex, 7 pages

arxiv created 1996/07/04 · openalex publication_date 1997/09/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We bosonize the massive Thirring model in 3+1D for a 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.

Citations

• Current Algebra and Bosonization in Three Dimensions

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