Tests and applications of Migdal's particle path-integral representation for the Dirac Propagator
High Energy Physics - Theory
2009-11-10 v3
Abstract
We derive some non-perturbative results in 1+1 and 2+1 dimensions within the context of the particle path-integral representation for a Dirac field propagator in the presence of an external field, in a formulation introduced by Migdal in 1986. We consider the specific properties of the path-integral expressions corresponding to the 1+1 and 2+1 dimensional cases, presenting a derivation of the chiral anomaly in the former and of the Chern-Simons current in the latter. We also discuss particle propagation in constant electromagnetic field backgrounds.
Keywords
Cite
@article{arxiv.hep-th/0310191,
title = {Tests and applications of Migdal's particle path-integral representation for the Dirac Propagator},
author = {C. Fosco and J. Sanchez-Guillen and R. A. Vazquez},
journal= {arXiv preprint arXiv:hep-th/0310191},
year = {2009}
}
Comments
11 pages. Improved version with typos corrected and shortened in one section on alternative approaches. Accepted for publication in PRD