Correction to the Dirac field entropy of a Schwarzschild black hole by a modified dispersion relation

Details Correction to the Dirac field entropy of a Schwarzschild black hole by a modified dispersion relation Correction to the Dirac field entropy of a Schwarzschild black hole by a modified dispersion relation

Nov 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011phrvd..84j4007z&link_type=abstract

Physical Review D, vol. 84, Issue 10, id. 104007

Physics

Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Quantum Field Theory In Curved Spacetime, Black Holes

Scientific paper

Taking the WKB approximation to solve the Dirac field equation in a Schwarzschild black hole spacetime, we can get the classical momenta. Employing the classical momenta and state density equation corrected by a modified dispersion relation, we will obtain the number of quantum states with energy less than ω. Then, it is used to calculate the statistical-mechanical entropy of the Dirac field. Solving the integral for r exactly, we obtain the leading term of entropy that is proportional to the event horizon area, and correction terms take the form of A-1, but the logarithmic correction term by this approach is not given.

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