The Mass-shift Method and the Self-action of Classical Charge

TL;DR

This paper introduces the mass-shift method to analyze higher-order radiation effects in classical electrodynamics, specifically for non-relativistic cyclotron motion and BMT particles, highlighting back-reaction phenomena.

Contribution

The paper extends the mass-shift method to include higher-order radiation effects and applies it to both cyclotron motion and BMT particles in classical electrodynamics.

Findings

Higher-order radiation effects are characterized using the mass-shift method.

The method is generalized to BMT particles, broadening its applicability.

Back-reaction effects are effectively described in complex non-local action frameworks.

Abstract

The complex non-local action functional is used in classical electrodynamics to describe the back-reaction effects for the charge moving in the constant homogeneous electromagnetic field. We apply the mass-shift method to obtain the higher order radiation effects in the non-relativistic cyclotron motion and generalize the method to the case of Bargmann-Michel-Telegdi particle.