Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics

Details Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics

2004-12-27

arxiv.org/abs/hep-th/0412309v2

Phys.Rev. D71 (2005) 124040

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. Sections 1 through 4 were reduced by eliminating inessential equations and paragraphs; additional comments were adde

Scientific paper

10.1103/PhysRevD.71.124040

Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a $D$-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the simultaneous use of: (i) a near-horizon description of the scalar field in terms of conformal quantum mechanics; (ii) a novel generalized WKB framework; and (iii) curved-spacetime phase-space methods. In addition, this improved semiclassical approach is shown to be asymptotically exact in the presence of hierarchical expansions of a near-horizon type. Most importantly, this analysis further supports the claim that the thermodynamics of black holes is induced by their near-horizon conformal invariance.

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