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

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.

15 pages. arXiv admin note: substantial text overlap with arXiv:1501.06025

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