Radiation Damping of a Yang-Mills Particle Revisited

TL;DR

This paper revisits the radiation damping of a color-charged particle in Yang-Mills theory, using an ansatz for potentials to overcome non-abelian complexities and providing detailed examples of the damping effects.

Contribution

It introduces a novel approach using an ansatz for Li9nard-Wiechert potentials to analyze radiation damping in non-abelian gauge theories.

Findings

Derived radiation damping expressions for non-abelian particles

Presented three detailed examples illustrating the damping effects

Extended Dirac's approach to non-abelian gauge interactions

Abstract

The problem of a color-charged point particle interacting with a four dimensional Yang-Mills gauge theory is revisited. The radiation damping is obtained inspired in the Dirac's computation. The difficulties in the non-abelian case were solved by using an ansatz for the Li\'enard-Wiechert potentials, already used in the literature for finding solutions to the Yang-Mills equations. Three non-trivial examples of radiation damping for the non-abelian particle are discussed in detail.