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Applying the Hamilton--Jacobi method we investigate the tunneling of photonacross the event horizon of a static spherically symmetric black hole. Thenecessity of the gauge condition on the photon field, to derive thesemiclassical Hawking temperature, is explicitly shown. Also, the tunneling ofphoton and gravitino beyond this semiclassical approximation are presentedseparately. Quantum corrections of the action for both cases are found to beproportional to the semiclassical contribution. Modifications to the Hawkingtemperature and Bekenstein-Hawking area law are thereby obtained. Using thiscorrected temperature and Hawking's periodicity argument, the modified metricfor the Schwarzschild black hole is given. This corrected version of themetric, upto $\hbar$ order is equivalent to the metric obtained by includingone loop back reaction effect. Finally, the coefficient of the leading ordercorrection of entropy is shown to be related to the trace anomaly.

Hawking Radiation due to Photon and Gravitino Tunneling