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Fermion tunneling beyond semiclassical approximation

Bibhas Ranjan Majhi*

  • S. N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata-700098, India

  • *bibhas@bose.res.in
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Phys. Rev. D 79, 044005 – Published 4 February, 2009

DOI: https://doi.org/10.1103/PhysRevD.79.044005

Abstract

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.

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Phys. Rev. D 79, 044005– Published 4 February, 2009
  • Received 19 September 2008

© 2009 American Physical Society

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