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Journal of High Energy Physics Volume 2007 JHEP12(2007) Create an alert RSS this journal

Horacio E. Camblong and Carlos R. Ordóñez JHEP12(2007)099 doi:10.1088/1126-6708/2007/12/099

Conformal enhancement of holographic scaling in black hole thermodynamics: a near-horizon heat-kernel framework

Horacio E. Camblong1 and Carlos R. Ordóñez2

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Abstract References Cited By
Standard thermodynamic treatments of quantum field theory in the presence of black-hole backgrounds reproduce the black hole entropy by usually specializing to the leading order of the heat-kernel or the high-temperature expansion. By contrast, this work develops a hybrid framework centered on geometric spectral asymptotics whereby these assumptions are shown to be unwarranted insofar as black hole thermodynamics is concerned. The approach—consisting of the concurrent use of near-horizon and heat-kernel asymptotic expansions—leads to a proof of the holographic scaling of the entropy as a universal feature driven by conformal quantum mechanics.

Keywords

Black Holes

Models of Quantum Gravity

 

E-print Number: 0709.2942

Cited: by |

Refers: to

PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

11.10.Jj Asymptotic problems and properties

04.60.Ds Canonical quantization

11.25.Hf Conformal field theory, algebraic structures

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 12 (December 2007)

Received 25 September 2007, accepted for publication 17 December 2007

Published 31 December 2007



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