Positive specific heat of the quantum corrected dilaton black hole

Details Positive specific heat of the quantum corrected dilaton black hole Positive specific heat of the quantum corrected dilaton black hole

2003-05-05

arxiv.org/abs/hep-th/0305036v2

JHEP 0307 (2003) 009

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, JHEP style, 1 eps figure, v2: extended the discussion, added new formulas for mass change, added three new reference

Scientific paper

10.1088/1126-6708/2003/07/009

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.

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