The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
arXiv:hep-th/9407182 · doi:10.1016/0370-2693(94)91374-9
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