Functional integral over velocities for a spinning particle with and without anomalous magnetic moment in a constant electromagnetic field

TL;DR

This paper applies functional integration over velocities to compute the propagator of a spinning particle with or without anomalous magnetic moment in a constant electromagnetic field, providing new representations for the spin factor and Schwinger representation.

Contribution

It introduces a novel application of velocity-based functional integration to spinning particles, deriving explicit spin factors and Schwinger representations in electromagnetic fields.

Findings

Derived a representation for the spin factor in a constant electromagnetic field.

Obtained a Schwinger representation for the case without anomalous magnetic moment.

Extended the functional integral technique to include particles with anomalous magnetic moments.

Abstract

The technique of functional integration over velocities is applied to the calculation of the propagator of a spinning particle with and without anomalous magnetic moment. A representation for the spin factor is obtained in this context for the particle in a constant electromagnetic field. As a by-product, we also obtain a Schwinger representation for the first case.