Abstract The divergences at all levels for the statistical entropy of a plane symmetry black hole arising from the massless Dirac field are considered using the brick-wall model. It is shown that if we ignore the usual contribution from the vacuum surrounding the system, then the statistical entropy consists of two parts: one is the linearly divergent term which has the geometric character, the other consists of two logarithmically divergent terms which are not proportional to the surface area of the horizon. The entropy of the Dirac field on extremal plane symmetry spacetime background has higher divergence than usual.
Received: 12 July 2004
Revised: 05 September 2004
Accepted manuscript online:
PACS:
04.70.Dy
(Quantum aspects of black holes, evaporation, thermodynamics)
Li Gu-Qiang (李固强) Divergence structure of the statistical entropy of the Dirac field in a plane symmetry black hole geometry 2005 Chinese Physics 14 468
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