Rindler Particles and Classical Radiation

TL;DR

This paper explores how a uniformly accelerating point source emits quantum and classical radiation through interactions with Rindler photons, linking quantum processes with classical radiation results and examining effects across different spacetime dimensions.

Contribution

It provides a detailed analysis connecting quantum emission processes with classical radiation from an accelerating source, including the classical limit and dimensional effects.

Findings

Emission rate matches classical radiation in the inert limit.

Identifies the classical point source as a zero-gap DeWitt detector.

Examines dimensional dependence and statistics inversion effects.

Abstract

We describe the quantum and classical radiation by a uniformly accelerating point source in terms of the elementary processes of absorption and emission of Rindler scalar photons of the Fulling-Davies-Unruh bath observed by a co-accelerating observer.To this end we compute the emission rate by a DeWitt detector of a Minkowski scalar particle with defined transverse momentum per unit of proper time of the source and we show that it corresponds to the induced absorption or spontaneous and induced emission of Rindler photons from the thermal bath. We then take what could be called the inert limit of the DeWitt detector by considering the limit of zero gap energy. As suggested by DeWitt, we identify in this limit the detector with a classical point source and verify the consistency of our computation with the classical result. Finally, we study the behavior of the emission rate in D space-time dimensions in connection with the so called apparent statistics inversion.