Calculation of acceleration effects using the Zubarev density operator

TL;DR

This paper details the calculation of quantum correlators using the Zubarev density operator to demonstrate the Unruh effect, including corrections for massive fermions, advancing understanding of acceleration-induced quantum phenomena.

Contribution

It provides a detailed perturbative calculation of quantum correlators at fourth order using the Zubarev density operator, confirming the Unruh effect for massive fermions.

Findings

Quantum correlators calculated at fourth order show Unruh effect signatures.

Expressions for quantum corrections for massive fermions are derived.

The results support the theoretical basis of acceleration-induced quantum effects.

Abstract

The relativistic form of the Zubarev density operator can be used to study quantum effects associated with acceleration of the medium. In particular, it was recently shown that the calculation of perturbative corrections in acceleration based on the Zubarev density operator makes it possible to show the existence of Unruh effect. In this paper, we present the details of the calculation of quantum correlators arising in the fourth order of the perturbation theory needed to demonstrate the Unruh effect. Expressions for the quantum corrections for massive fermions are also obtained.