An Analytic Perturbation Approach for Classical Spinning Particle Dynamics

TL;DR

This paper introduces an analytic perturbation method based on power series expansion to describe the dynamics of classical spinning particles governed by MPD equations, including spin-gravity interactions.

Contribution

It develops a formalism for infinite-order analytic representation of spinning particle dynamics, incorporating radiative corrections and applicable to arbitrary motions in general space-times.

Findings

First-order momentum and spin tensor components computed explicitly

Formalism applicable to arbitrary particle motion in general space-time

Potential applications outlined for further research

Abstract

A perturbation method to analytically describe the dynamics of a classical spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of motion, is presented. By a power series expansion with respect to the particle's spin magnitude, it is shown how to obtain in general form an analytic representation of the particle's kinematic and dynamical degrees of freedom that is formally applicable to infinite order in the expansion. Within this formalism, it is possible to identify a classical analogue of radiative corrections to the particle's mass and spin due to spin-gravity interaction. The robustness of this approach is demonstrated by showing how to explicitly compute the first-order momentum and spin tensor components for arbitrary particle motion in a general space-time background. Potentially interesting applications based on this perturbation approach are outlined.