Scalar field entanglement entropy for small Schwarzschild black hole

TL;DR

This paper investigates the entanglement entropy of scalar fields around small Schwarzschild black holes, emphasizing unitarity and the role of Hilbert space dimensions, with results involving polylogarithmic functions.

Contribution

It introduces a detailed analysis of scalar field entanglement entropy for sub-Planckian black holes, considering Hilbert space dimensions and resulting in polylogarithmic expressions.

Findings

Entanglement entropy depends on Hilbert space dimensions behind the horizon.

Results include polylogarithmic terms in the entropy calculation.

Supports the unitarity of gravity evolution for small black holes.

Abstract

We consider scalar field entanglement entropy generated with black hole of (sub)planck mass scale thus implying the unitary evolution of gravity. The dependence on the dimension of the Hilbert space for degrees of freedom located behind the horizon is taken into account. The obtained results contain polylogarithmic terms.