Quantum entropy of a Schwarzschild black hole due to the Dirac field

Details Quantum entropy of a Schwarzschild black hole due to the Dirac field Quantum entropy of a Schwarzschild black hole due to the Dirac field

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvd..65h4005x&link_type=abstract

Physical Review D, vol. 65, Issue 8, id. 084005

Physics

18

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

Scientific paper

The quantum entropy of the massive Dirac field outside a Schwarzschild black hole is investigated. The cutoff in the brick-wall model is removed by introducing some fictitious regulator fields, and the entropy is regulated by the large mass of these fictitious regulators. The one-loop effective action for the Dirac field is also obtained by using these regulators. The divergent entropy can be renormalized to the standard Bekenstein-Hawking formula, in terms of Newton's constant appearing in the renormalization of the action for the gravitational-quantum matter fields. The renormalized Newton constant is different from the case of the scalar field, at least in form.

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