Electromagnetic potentials and radiation of the Proca field created by a massless charge

TL;DR

This paper investigates the electromagnetic potentials and radiation emitted by a massless charge in a theory involving a massive gauge boson and a massless fermion, highlighting both similarities and differences with quantum electrodynamics.

Contribution

It introduces and analyzes the electromagnetic effects of a massless charge within a less-explored massive gauge boson framework, providing new insights into its radiation and potentials.

Findings

Electromagnetic potentials for a massless charge are derived.

Radiation due to momentum change shows both similarities and differences with QED.

The study reveals unique features of the Proca field with massless charges.

Abstract

We study a theory less explored in the literature, that of a massive abelian gauge boson interacting with a massless fermion. In this framework we calculate the electromagnetic potentials created by a point like massless charge. We determine also the radiation associated with a change in the momentum of the charge in the low energy regime. The results show both similarities and discrepancies with respect to quantum electrodynamics.