Scalar Field in Massive BTZ Black Hole and Entanglement Entropy

TL;DR

This paper analyzes quantum scalar fields in a massive BTZ black hole background, focusing on entanglement entropy and quantum corrections to black hole entropy, with numerical analysis of graviton mass effects.

Contribution

It introduces a discretized approach to evaluate entanglement entropy and examines quantum corrections to black hole entropy influenced by graviton mass.

Findings

Entanglement entropy fits a log-modified black hole entropy formula.

Coefficients of entropy terms depend on graviton mass.

Quantum corrections are numerically characterized.

Abstract

In this paper, we investigate the quantum scalar fields in massive BTZ black hole background. We study the entropy of the system by evaluating the entanglement entropy with the use of discretized approach. Specifically, we fit the results with $\log$ -modified formula of the black hole entropy which is introduced by quantum correction. The coefficients of leading and sub-leading terms affected by the mass of graviton are numerically analyzed.