Uniform Acceleration Radiation with a Proca Field

Abstract

We conduct a theoretical investigation of radiation from a uniformly accelerating particle coupled to a Proca field. The fact that a Proca field allows non-conservation of charge facilitates the use of regularizations where the charge changes in time. Using several classical methods, we obtain expressions for the field, and expressions for the rate of emitted energy and particle number. We also obtain general expressions for the quantity of radiation when the charge is an arbitrary function of time, both when the charge is at rest, and when it is uniformly accelerating.

Separately, in the context of the longstanding puzzle of the equivalence principle and radiation, we carry out an analysis of electromagnetic radiation in the case where observer and charge both have distinct accelerations. We confirm the result of Hirayama and others, that the rate of radiation is proportional to the square of the difference of the accelerations.