Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-15
Annals Phys.325:2410-2424,2010
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 19 pages, no figures, extended version, new references added, to appear in Annals of Phys
Scientific paper
10.1016/j.aop.2010.06.010
Applying the Hamilton--Jacobi method we investigate the tunneling of photon across the event horizon of a static spherically symmetric black hole. The necessity of the gauge condition on the photon field, to derive the semiclassical Hawking temperature, is explicitly shown. Also, the tunneling of photon and gravitino beyond this semiclassical approximation are presented separately. Quantum corrections of the action for both cases are found to be proportional to the semiclassical contribution. Modifications to the Hawking temperature and Bekenstein-Hawking area law are thereby obtained. Using this corrected temperature and Hawking's periodicity argument, the modified metric for the Schwarzschild black hole is given. This corrected version of the metric, upto $\hbar$ order is equivalent to the metric obtained by including one loop back reaction effect. Finally, the coefficient of the leading order correction of entropy is shown to be related to the trace anomaly.
Majhi Bibhas Ranjan
Samanta Saurav
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