Semiclassical corrections to black hole entropy and the generalized uncertainty principle

TL;DR

This paper investigates quantum and GUP-induced corrections to black hole entropy and temperature using path integral methods, revealing an equivalence between polymer quantization and GUP frameworks.

Contribution

It introduces a unified approach to derive semiclassical corrections to black hole thermodynamics and establishes a link between polymer quantization and GUP descriptions.

Findings

Corrected black hole temperature and entropy derived

Quantum and GUP effects quantified

Equivalence between polymer quantization and GUP shown

Abstract

In this paper, employing the path integral method in the framework of a canonical description of a Schwarzschild black hole, we obtain the corrected inverse temperature and entropy of the black hole. The corrections are those coming from the quantum effects as well as from the Generalized Uncertainty Principle effects. Furthermore, an equivalence between the polymer quantization and the Generalized Uncertainty Principle description is shown provided the parameters characterizing these two descriptions are proportional.