Positive specific heat of the quantum corrected dilaton black hole
High Energy Physics - Theory
2009-11-10 v2 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/0305036,
title = {Positive specific heat of the quantum corrected dilaton black hole},
author = {D. Grumiller and W. Kummer and D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/0305036},
year = {2009}
}
Comments
18 pages, JHEP style, 1 eps figure, v2: extended the discussion, added new formulas for mass change, added three new references (in particular [35])