Pseudoclassical description of scalar particle in non-Abelian background and path-integral representations

Date
Authors
Fresneda, R.
Gitman, D.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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
High Energy Physics - Theory
Citation
Collections