THE FERMION-BOSON MAPPING IN 3-DIMENSIONAL QUANTUM-FIELD THEORY

Authors
FRADKIN E SCHAPOSNIK FA
Citation
E. Fradkin et Fa. Schaposnik, THE FERMION-BOSON MAPPING IN 3-DIMENSIONAL QUANTUM-FIELD THEORY, Physics letters. Section B, 338(2-3), 1994, pp. 253-258
Citations number
25
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
338
Issue
2-3
Year of publication
1994
Pages
253 - 258
Database
ISI
SICI code
0370-2693(1994)338:2-3<253:TFMI3Q>2.0.ZU;2-M
Abstract
We discuss bosonization in three dimensions by establishing a connecti on between the massive Thirring model and the Maxwell-Chem-Simons theo ry. We show, to lowest order in inverse fermion mass, the identity bet ween the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compare d with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional s tatistics.