Radiation from a moving Scalar Source

TL;DR

This paper investigates classical and quantum radiation emitted by a moving scalar source, resolving paradoxes in classical radiation and establishing a quantum equivalence between inertial and Rindler frame emission rates.

Contribution

It provides a detailed analysis of scalar radiation from accelerating sources, clarifies classical paradoxes, and demonstrates quantum emission-absorption equivalence in different frames.

Findings

Classical analysis resolves the paradox of radiation from a constantly accelerating source.

Quantum calculations show equivalence of inertial emission rates and Rindler frame absorption/emission.

Explicit verification for uniformly accelerated sources confirms theoretical predictions.

Abstract

We study classical radiation and quantum bremsstrahlung effect of a moving point scalar source. Our classical analysis provides another example of resolving a well-known apparent paradox, that of whether a constantly accelerating source radiates or not. Quantum mechanically, we show that for a scalar source with arbitrary motion, the tree level emission rate of scalar particles in the inertial frame equals the sum of emission and absorption rates of zero-energy Rindler particles in the Rindler frame. We then explicitly verify this result for a source undergoing constant proper acceleration.