The Unruh thermal spectrum through scalar and fermion tunneling

TL;DR

This paper derives the Unruh thermal spectrum for scalar and fermion particles using a tunneling approach, employing exact solutions to Klein-Gordon and Dirac equations in Rindler space, thus completing the tunneling treatment of the effect.

Contribution

It presents a novel derivation of the Unruh effect spectrum via tunneling with exact solutions, covering both bosonic and fermionic particles.

Findings

Derivation of Bose-Einstein spectrum through tunneling

Derivation of Fermi-Dirac spectrum through tunneling

Use of full solutions of Klein-Gordon and Dirac equations

Abstract

The thermal spectrum seen by accelerated observers in Minkowski space - known as the Unruh effect - is derived within the tunneling mechanism. This is a new result in this mechanism and it completes the treatment of Unruh effect via tunneling. Both Bose-Einstein and Fermi-Dirac spectrum is derived by considering tunneling of scalar and spin half particles respectively, across the accelerated Rindler horizon. Full solutions of Klein-Gordon and Dirac equations in the Rindler metric are employed to achieve this, instead of approximate solutions.