Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-26
Phys.Lett. B382 (1996) 220-226
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, latex file
Scientific paper
10.1016/0370-2693(96)00661-2
The thermodynamical one-loop entropy $S^{TD}$ of a two-dimensional black hole in thermal equilibrium with the massless quantum gas is calculated. It is shown that $S^{TD}$ includes the Bekenstein-Hawking entropy, evaluated for the quantum corrected geometry, and the finite difference of statistical mechanical entropies $-Tr\hat{\rho}\ln\hat{\rho}$ for the gas on the black hole and Rindler spaces. This result demonstrates in an explicit form that the relation between thermodynamical and statistical-mechanical entropies of a black hole is non-trivial and requires special subtraction procedure.
Frolov Valeri P.
Fursaev Dmitri V.
Zelnikov A. I.
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