Unruh effect with back reaction--A first quantized treatment

TL;DR

This paper develops a first-quantized framework to analyze the back reaction on an accelerated particle detector, incorporating quantum horizon operators, and confirms previous detection transition results.

Contribution

It introduces a novel first-quantized approach with horizon operators to study back reaction effects on accelerated detectors.

Findings

Transition amplitude matches previous results

First-quantized treatment provides new insights

Quantum horizon operators facilitate calculations

Abstract

We present a first-quantized treatment of the back reaction on an accelerated particle detector. The accelerated detector is described as a first quantized, charged, pointlike particle in a constant field with internal energy levels. A quantum version of canonically conjugate future and past Rindler horizon operators is introduced to facilitate the calculation. The evaluated transition amplitude for detection agrees with previously obtained results.