The fermionic Unruh effect in relativistic eccentric uniformly rotating frames

TL;DR

This paper explores the detection of Dirac particles in a relativistic eccentric rotating frame, revealing a nonzero response for detectors and the challenges in canonical quantization due to the frame's complexity.

Contribution

It introduces a novel analysis of the fermionic Unruh effect in eccentric rotating frames, highlighting the limitations of canonical quantization in such settings.

Findings

Detector observes a Planckian energy spectrum.

Canonical quantization is not feasible in this frame.

Detector response confirms the Unruh effect for Dirac fields.

Abstract

We investigate detection of Dirac quanta in a uniformly eccentric rotating frame both with canonical and detector approaches by employing relativistic rotational transformations. First we consider a relativistic uniformly eccentric rotating detector that is coupled to the scalar density of a massless Dirac field, and show that this detector has a nonzero response function and observes a Planckian energy spectrum. Then using relativistic rotational transformations, we investigate the canonical quantization of Dirac field in relativistic eccentric rotating frame. We show that it's not possible to obtain the analytic solution for Dirac equation in this frame and so canonical approach can not be carried out.