Dirac fermions on an anti-de Sitter background

TL;DR

This paper derives the Feynman propagator for Dirac fermions in anti-de Sitter space, computes vacuum and thermal expectation values of the stress-energy tensor, and discusses rotating thermal states.

Contribution

It provides an exact bi-spinor parallel transport expression and applies the Hadamard method to compute stress-energy tensor expectations in AdS.

Findings

Explicit Feynman propagator for Dirac fermions in AdS

Vacuum expectation value of stress-energy tensor computed

Analysis of thermal and rotating thermal states in AdS

Abstract

Using an exact expression for the bi-spinor of parallel transport, we construct the Feynman propagator for Dirac fermions in the vacuum state on anti-de Sitter space-time. We compute the vacuum expectation value of the stress-energy tensor by removing coincidence-limit divergences using the Hadamard method. We then use the vacuum Feynman propagator to compute thermal expectation values at finite temperature. We end with a discussion of rigidly rotating thermal states.