Positive specific heat of the quantum corrected dilaton black hole

TL;DR

This paper investigates quantum corrections to the CGHS dilaton black hole, revealing a positive specific heat and modified thermodynamic properties due to matter loop effects in a background-independent quantization.

Contribution

It provides the first nontrivial quantum correction to the thermodynamics of the CGHS black hole using background-independent path integral quantization.

Findings

Horizon size decreases due to quantum effects

Hawking temperature receives quantum corrections

Black hole specific heat becomes positive and scales with mass squared

Abstract

Path integral quantization of dilaton gravity in two dimensions is applied to the CGHS model to the first nontrivial order in matter loops. Our approach is background independent as geometry is integrated out exactly. The result is an effective shift of the Killing norm: the apparent horizon becomes smaller. The Hawking temperature which is constant to leading order receives a quantum correction. As a consequence, the specific heat becomes positive and proportional to the square of the black hole mass.