Schwarzschild-anti-de Sitter时空中Dirac场的统计熵

数学物理学报

Schwarzschild-anti-de Sitter时空中Dirac场的统计熵

李固强;

湛江师范学院物理系湛江 524048

收稿日期:2005-10-08 修回日期:2006-11-30 出版日期:2007-12-25 发布日期:2007-12-25
通讯作者: 李固强
基金资助:
湛江师范学院自然科学研究项目(L0612)资助

Statistical Entropy of Dirac Field in Schwarzschild-anti-de

Sitter Space-time

Li Guqiang;

Department of Physics, Zhanjiang Normal College, Zhanjiang 524048

Received:2005-10-08 Revised:2006-11-30 Online:2007-12-25 Published:2007-12-25
Contact: Li Guqiang

摘要/Abstract

摘要： 利用brick-wall方法,计算了Schwarzschild-anti-de Sitter时空中Dirac场的统计熵,讨论了Dirac粒子的自旋对统计熵的影响.结果表明,忽略远离围绕系统的真空的贡献,Dirac场的统计熵包含与黑洞视界面积成正比的平方反比发散项和对数发散项,整个表达式的结构与黑洞熵的结构不一样.对应于|∧|r²_h 的不同取值,对数发散项的贡献可以为正、负或零.

关键词: Schwarzschild-anti-de Sitter时空, brick-wall方法, 统计熵

Abstract: By using brick-wall method, the statistical entropy of Dirac field in
Schwarzschild-anti-de Sitter spacetime is calculated and the effect of the spins of the Dirac particles on the entropy is investigated. It is shown that if the author ignores the usual contribution from the vacuum surrounding the system, then the statistical entropy consists of a quadratically divergent term which is proportional to the horizon area of the black hole and two logarithmically divergent terms, the structure of the whole expression is different from that of the black hole entropy. The logarithmically divergent term may be positive, zero, or negative for different values of |∧|r²_h .

Key words: Schwarzschild-anti-de Sitter spacetime, Brick-wall method, Statistical entropy

中图分类号:

李固强;. Schwarzschild-anti-de Sitter时空中Dirac场的统计熵[J]. 数学物理学报, 2007, 27(6): 1054-1058.

Li Guqiang;.

Statistical Entropy of Dirac Field in Schwarzschild-anti-de

Sitter Space-time

[J]. Acta mathematica scientia,Series A, 2007, 27(6): 1054-1058.

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