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

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

2007-09-21

arxiv.org/abs/0709.3520v1

Int.J.Mod.Phys.A23:835-853,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1142/S0217751X08039505

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.

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