The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

Abstract

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.

12 pages, LATEX, La Plata 94-08

References in corpus (1)

• Bosonization in 2+1 dimensions without Chern - Simons attached

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