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Quantum tunneling beyond semiclassical approximation

Rabin Banerjee and Bibhas Ranjan Majhi

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Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal field theory methods, which modifies the Hawking temperature of the black hole. Using the law of black hole mechanics we give the corrections to the Bekenstein-Hawking area law following from the modified Hawking temperature. Some examples are explicitly worked out.

Keywords

Black Holes

Classical Theories of Gravity

PACS

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

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

11.25.Hf Conformal field theory, algebraic structures

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 06 (June 2008)

Received 20 May 2008, accepted for publication 9 June 2008

Published 24 June 2008



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