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Open Quantum Systems Decoherence Quantum Thermodynamics

Conformal Enhancement of Holographic Scaling in Black Hole Thermodynamics: A Near-Horizon Heat-Kernel Framework

arXiv

Authors: Horacio E. Camblong, Carlos R. Ordonez

Year

2007

Paper ID

49039

Status

Preprint

Abstract Read

~2 min

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Abstract

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.

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.2942 [2] arXiv https://arxiv.org/abs/0709.2942 [3] Publisher https://arxiv.org/abs/0709.2942

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