Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordstr\"{o}m spacetime

TL;DR

This paper investigates the Casimir effect for a massless Dirac field in a two-dimensional Reissner-Nordström black hole background, calculating vacuum stress tensors in various quantum states.

Contribution

It provides the first detailed analysis of the Casimir effect for massless Dirac fields in this specific curved spacetime setting.

Findings

Vacuum expectation values of stress tensor computed for different states.

Differences observed in stress tensor behavior across Boulware, Hartle-Hawking, and Unruh states.

Insights into quantum field effects near charged black holes.

Abstract

In this paper, the two-dimensional Reissner-Nordstr\"{o}m black hole is considered as a system of the Casimir type. In this background the Casimir effect for the massless Dirac field is discussed. The massless Dirac field is confined between two ``parallel plates'' separated by a distance $L$ and there is no particle current drilling through the boundaries. The vacuum expectation values of the stress tensor of the massless Dirac field at infinity are calculated separately in the Boulware state, the Hartle-Hawking state and the Unruh state.