Finite temperature Fermionic Casimir interaction in Anti-de Sitter spacetime

TL;DR

This paper investigates the finite temperature Casimir effect for fermionic fields in anti-de Sitter spacetime, revealing attraction between boundaries and exponential decay at high temperatures, contrasting with bosonic cases.

Contribution

It provides the first detailed analysis of fermionic Casimir interactions at finite temperature in AdS spacetime, highlighting differences from bosonic fields.

Findings

Casimir force is always attractive between boundaries.

At high temperature, the fermionic Casimir interaction decays exponentially.

Contrasts with bosonic fields where high temperature behavior is linear.

Abstract

We study the finite temperature Casimir interactions on two parallel boundaries in the anti-de Sitter spacetime AdS$_{D+1}$ induced by the vacuum fluctuations of a massive fermionic field with MIT bag boundary conditions. As in the Minkowski spacetime, the Casimir interaction always tends to attract the two boundaries to each other at any temperature and for any mass. For bosonic fields, it is well known that the high temperature leading term of the Casimir interaction is linear in temperature. However, for fermionic fields, the Casimir interaction decays exponentially at high temperature due to the absence of zero Matsubara frequency.