PSEUDOCLASSICAL DESCRIPTION OF SCALAR PARTICLE IN NON-ABELIAN BACKGROUND AND PATH-INTEGRAL REPRESENTATIONS

2007/09/21 by R. Fresneda, R. FRESNEDA, D. Gitman +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1142/s0217751x08039505

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

arxiv created 2007/09/21 · openalex publication_date 2008/03/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 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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