Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-09
Phys.Rev.D79:044005,2009
Physics
High Energy Physics
High Energy Physics - Theory
LaTex,10 pages, no figure, minor changes, references added, to appear in Phys. rev. D
Scientific paper
10.1103/PhysRevD.79.044005
Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in \cite{Majhi3} for the scalar particle, Hawking radiation as tunneling of Dirac particle through an event horizon is analysed. We show that, as before, all quantum corrections in the single particle action are proportional to the usual semiclassical contribution. We also compute the modifications to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. Finally, the coefficient of the logarithmic correction to entropy is shown to be related with the trace anomaly.
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