中国物理B ›› 2005, Vol. 14 ›› Issue (3): 468-471.doi: 10.1088/1009-1963/14/3/006

• GENERAL • 上一篇    下一篇

Divergence structure of the statistical entropy of the Dirac field in a plane symmetry black hole geometry

李固强   

  1. School of Information Technology and Science, Zhanjiang Normal College, Zhanjiang 524048, China
  • 收稿日期:2004-07-12 修回日期:2004-09-05 出版日期:2005-03-02 发布日期:2005-03-02

Divergence structure of the statistical entropy of the Dirac field in a plane symmetry black hole geometry

Li Gu-Qiang (李固强)   

  1. School of Information Technology and Science, Zhanjiang Normal College, Zhanjiang 524048, China
  • Received:2004-07-12 Revised:2004-09-05 Online:2005-03-02 Published:2005-03-02

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摘要： 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.

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.

Key words: brick-wall model, statistical entropy, plane symmetry black hole, Dirac field

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
02.40.-k (Geometry, differential geometry, and topology)