Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations
High Energy Physics - Theory
2008-11-26 v1
Abstract
Path-integral representations for a scalar particle propagator in non-Abelian external backgrounds are derived. To this aim, we generalize the procedure proposed by Gitman and Schvartsman 1993 of path-integral construction to any representation of SU(N) given in terms of antisymmetric generators. And for arbitrary representations of SU(N), we present an alternative construction by means of fermionic coherent states. From the path-integral representations we derive pseudoclassical actions for a scalar particle placed in non-Abelian backgrounds. These actions are classically analyzed and then quantized to prove their consistency.
Keywords
Cite
@article{arxiv.0709.3520,
title = {Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations},
author = {R. Fresneda and D. Gitman},
journal= {arXiv preprint arXiv:0709.3520},
year = {2008}
}