BOSONIZATION OF VECTOR AND AXIAL-VECTOR CURRENTS IN 3+1 DIMENSIONS

Citation
Cd. Fosco et Fa. Schaposnik, BOSONIZATION OF VECTOR AND AXIAL-VECTOR CURRENTS IN 3+1 DIMENSIONS, Physics letters. Section B, 391(1-2), 1997, pp. 136-143
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
391
Issue
1-2
Year of publication
1997
Pages
136 - 143
Database
ISI
SICI code
0370-2693(1997)391:1-2<136:BOVAAC>2.0.ZU;2-I
Abstract
The bosonization of a massless fermionic field coupled to both vector and axial-vector external sources is developed, following a path-integ ral approach. The resulting bosonized theory contains two antisymmetri c tensor fields whose actions consist of non-local Kalb-Ramond-like te rms plus interactions. Exact bosonization rules that take the axial an omaly for the axial current into account are derived, and an approxima ted bosonized action is constructed.