Fermion tunneling beyond semiclassical approximation

By Bibhas Ranjan Majhi. 2008

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Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in R. Banerjee and B. R. Majhi, J. High Energy Phys. 06 (2008) 095 for the scalar particle, Hawking radiation as tunneling of the Dirac particle through an event horizon is analyzed. 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/56985c5645417dc9c82f950d2dbcb02ca37a6ada

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “Logarithmic corrections to the (extremal) black hole entropy have been analyzed before from different points of view [49, 70–72, 77, 79–86].”