Self-Interaction and Regularization of Classical Electrodynamics in Higher Dimensions

TL;DR

This paper investigates classical electrodynamics in higher even-dimensional space-times, focusing on self-interaction, regularization of singularities, and relations between radiation and friction effects.

Contribution

It demonstrates how all singularities in higher-dimensional electrodynamics can be regularized and explores the connection between radiation and radiation friction in these settings.

Findings

Singular terms in higher-dimensional electrodynamics can be regularized.

Relations between radiation and radiation friction are established.

The study extends classical electrodynamics to even-dimensional space-times.

Abstract

The classical electrodynamic system of field and a single point-like source is considered in even-dimensional space-time. The problem of self-interaction is discussed. It is manifestly shown that all singular terms appearing in these equations can be regularized. Relations between formulae for radiation and radiation friction are discussed.