Minimal Length Effects on Entanglement Entropy of Spherically Symmetric Black Holes in Brick Wall Model

TL;DR

This paper investigates how incorporating a minimal length scale affects the entanglement entropy of black holes within the brick wall model, revealing modifications to the UV divergence and confirming the persistence of the logarithmic correction.

Contribution

It introduces minimal length effects into the brick wall model, analyzing their impact on entanglement entropy and deriving both leading and subleading terms.

Findings

The leading UV divergent term scales with the horizon area.

The subleading logarithmic term remains unchanged by minimal length effects.

Minimal length modifies the occupation number and Hawking temperature calculations.

Abstract

We compute the black hole horizon entanglement entropy for a massless scalar field in the brick wall model by incorporating the minimal length. Taking the minimal length effects on the occupation number $n(\omega,l)$ and the Hawking temperature into consideration, we obtain the leading UV divergent term and the subleading logarithmic term in the entropy. The leading divergent term scales with the horizon area. The subleading logarithmic term is the same as that in the usual brick wall model without the minimal length.