Phase transition of quantum corrected Schwarzschild black hole

TL;DR

This paper investigates the thermodynamic phase transitions of a quantum-corrected Schwarzschild black hole, revealing a new phase transition due to vacuum fluctuations that differs from the classical case.

Contribution

It introduces a quantum correction to Schwarzschild black hole thermodynamics, showing a new phase transition caused by vacuum fluctuations and modified critical temperature.

Findings

Quantum corrections lower the critical temperature.

Existence of a new phase transition due to vacuum fluctuations.

Small black holes can undergo phase transitions unlike in classical theory.

Abstract

We study the thermodynamic phase transition of a quantum-corrected Schwarzschild black hole. The modified metric affects the critical temperature which is slightly less than the conventional one. The space without black holes is not the hot flat space but the hot curved space due to vacuum fluctuations so that there appears a type of Gross-Perry-Yaffe phase transition even for the very small size of black hole, which is impossible for the thermodynamics of the conventional Schwarzschild black hole. We discuss physical consequences of the new phase transition in this framework.