# Thermal expectation values of fermions on anti-de Sitter space-time

## TL;DR

This paper derives an analytic expression for the fermion propagator in anti-de Sitter space-time and computes thermal expectation values, revealing quantum corrections beyond classical kinetic theory.

## Contribution

It provides a closed-form vacuum Feynman Green's function for Dirac fields in anti-de Sitter space and calculates thermal expectation values using symmetry properties.

## Key findings

- Quantum corrections significantly affect fermion condensate and stress-energy tensor.
- Closed-form expressions enable precise analysis of fermions in curved space-time.
- Thermal Green's function exhibits anti-periodicity in imaginary time.

## Abstract

Making use of the symmetries of anti-de Sitter space-time, we derive an analytic expression for the bispinor of parallel transport, from which we construct in closed form the vacuum Feynman Green's function of the Dirac field on this background. Using the imaginary time anti-periodicity property of the thermal Feynman Green's function, we calculate the thermal expectation values of the fermion condensate and stress-energy tensor and highlight the effect of quantum corrections as compared to relativistic kinetic theory results.