Fermion Tunneling Beyond Semiclassical Approximation
arXiv:0809.1508 · doi:10.1103/PhysRevD.79.044005
Abstract
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.
LaTex,10 pages, no figure, minor changes, references added, to appear in Phys. rev. D
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Cited by in corpus (5)
- Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
- Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
- Tunneling across dilaton-axion black holes
- Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect
- Hawking Radiation from a Vaidya Black Hole: A Semi-Classical Approach and Beyond