Entropy using Path Integrals for Quantum Black Hole Models

TL;DR

This paper applies Feynman's path integral method to a simple quantum black hole eigenvalue equation, deriving statistical properties and confirming a logarithmic correction to the Bekenstein-Hawking entropy.

Contribution

It demonstrates how path integrals can be used to analyze quantum black hole models and derive entropy corrections, providing a novel application in quantum gravity.

Findings

Logarithmic correction to black hole entropy

Validation of path integral approach in quantum black hole models

Consistency with previous entropy correction results

Abstract

Several eigenvalue equations that could describe quantum black holes have been proposed in the canonical quantum gravity approach. In this paper, we choose one of the simplest of these quantum equations to show how the usual Feynman's path integral method can be applied to obtain the corresponding statistical properties. We get a logarithmic correction to the Bekenstein-Hawking entropy as already obtained by other authors by other means.