Bosonization of Vector and Axial-Vector Currents in 3+1 Dimensions
High Energy Physics - Theory
2009-10-30 v2
Abstract
The bosonization of a massless fermionic field coupled to both vector and axial-vector external sources is developed, following a path-integral approach. The resulting bosonized theory contains two antisymmetric tensor fields whose actions consist of non-local Kalb-Ramond-like terms plus interactions. Exact bosonization rules that take the axial anomaly for the axial current into account are derived, and an approximated bosonized action is constructed.
Cite
@article{arxiv.hep-th/9608057,
title = {Bosonization of Vector and Axial-Vector Currents in 3+1 Dimensions},
author = {C. D. Fosco and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/9608057},
year = {2009}
}
Comments
13 pages, LateX. Typographical error corrected