Quantum Tunneling Beyond Semiclassical Approximation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex, 17 pages, no figures, Important changes in section 3, new references added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2008/06/095

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.

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