The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
High Energy Physics - Theory
2009-10-28 v1
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.
Cite
@article{arxiv.hep-th/9407182,
title = {The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory},
author = {E. Fradkin and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/9407182},
year = {2009}
}
Comments
12 pages, LATEX, La Plata 94-08