Self-field, radiated energy, and radiated linear momentum of an accelerated point charge

TL;DR

This paper provides an exact classical electrodynamics solution for the self-field, radiated energy, and momentum of an accelerated point charge, avoiding mass renormalization and infinities.

Contribution

It introduces a precise mathematical solution for the self-field and radiation rates of an accelerated charge without renormalization.

Findings

Derived relativistic expressions for self-field and radiation rates

Avoided mass renormalization and infinities

Provided exact solutions in classical electrodynamics

Abstract

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-field (or radiation reaction) of an accelerated point-charge traveling in free space. We obtain relativistic expressions for the self-field as well as the rates of radiated energy and linear momentum without the need to renormalize the particle's mass - or to discard undesirable infinities.