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Path-integral representations for a scalar particle propagator in non-Abelianexternal backgrounds are derived. To this aim, we generalize the procedureproposed by Gitman and Schvartsman 1993 of path-integral construction to anyrepresentation of SU(N) given in terms of antisymmetric generators. And forarbitrary representations of SU(N), we present an alternative construction bymeans of fermionic coherent states. From the path-integral representations wederive pseudoclassical actions for a scalar particle placed in non-Abelianbackgrounds. These actions are classically analyzed and then quantized to provetheir consistency.

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