Fermion Fields in BTZ Black Hole Space-Time and Entanglement Entropy

TL;DR

This paper investigates the entanglement entropy of fermion fields in BTZ black hole space-time, analyzing quantum corrections and the effects of mass, using a discretized model to compute leading and sub-leading terms.

Contribution

It provides a detailed calculation of entanglement entropy, including quantum corrections and mass effects, in the context of BTZ black holes, extending previous understanding.

Findings

Leading term follows Bekenstein-Hawking area law

Sub-leading term accounts for quantum corrections

Massive fermions do not alter the area law

Abstract

We study the entanglement entropy of fermion fields in BTZ black hole space-time and calculate pre- factor of the leading and sub-leading terms and logarithmic divergence term of the entropy using the discretized model. The leading term is the standard Bekenstein-Hawking area law and sub-leading term corresponds to first quantum corrections in black hole entropy. We also investigate the corrections to entanglement entropy for massive fermion fields in BTZ space-time. The mass term does not affect the area law.