Classical 5D fields generated by a uniformly accelerated point source

TL;DR

This paper investigates five-dimensional gauge fields generated by a uniformly accelerated source, comparing them with Maxwell fields, and finds that non-zero modes influence test particle motion.

Contribution

It introduces a numerical method to compute 5D fields from hyperbolic motion and analyzes their differences from classical Maxwell fields.

Findings

Zero mode matches Maxwell fields

Non-zero modes affect test particle dynamics

Numerical Green-function approach developed

Abstract

Gauge fields associated with the manifestly covariant dynamics of particles in $(3,1)$ spacetime are five-dimensional. In this paper we explore the old problem of fields generated by a source undergoing hyperbolic motion in this framework. The 5D fields are computed numerically using absolute time $\tau$-retarded Green-functions, and qualitatively compared with Maxwell fields generated by the same motion. We find that although the zero mode of all fields coincides with the corresponding Maxwell problem, the non-zero mode should affect, through the Lorentz force, the observed motion of test particles.