Quantum effects in rotating thermal states on anti-de Sitter space-time

TL;DR

This paper investigates the quantum stress-energy tensor of a conformally coupled scalar field in rotating thermal states on anti-de Sitter space-time, comparing kinetic theory and quantum field theory results.

Contribution

It provides the first detailed comparison between kinetic theory and quantum field theory calculations of the stress-energy tensor in this setting.

Findings

Good agreement between kinetic theory and quantum field theory results.

Insights into quantum effects in rotating thermal states on anti-de Sitter space.

Methodology applicable to other curved space-time quantum field analyses.

Abstract

We study the stress-energy tensor of a massless, conformally coupled, quantum scalar field in a rigidly-rotating thermal state on three- and four-dimensional anti-de Sitter space-time. We first find the stress-energy tensor using relativistic kinetic theory, modelling the field as a thermal gas of massless bosons. We then compute the renormalized stress-energy tensor of the scalar field in quantum field theory and compare it with that resulting from relativistic kinetic theory.