Particles with anomalous magnetic moment in external e.m. fields: the proper time formulation

TL;DR

This paper derives the Green function for a spinning particle with anomalous magnetic moments in constant electromagnetic fields using the proper time method, incorporating Grassmann variables for spin.

Contribution

It introduces a novel calculation of the Green function for particles with anomalous moments in external fields via the proper time formulation.

Findings

Green function expression derived for particles with anomalous moments

Inclusion of Grassmann variables to describe spin degrees of freedom

Application of Fock-Schwinger proper time method

Abstract

In this paper we evaluate the expression for the Green function of a pseudo-classical spinning particle interacting with constant electromagnetic external fields by taking into account the anomalous magnetic and electric moments of the particle. The spin degrees of freedom are described in terms of Grassmann variables and the evolution operator is obtained through the Fock-Schwinger proper time method.