Quantum Entropy of Spin Fields in the Schwarzschild-Anti-de Sitter Black Hole with a Global Monopole

The quantum entropies of gravitational, electromagnetic, neutrino and scalar fields in the static Schwarzschild-anti-de Sitter black hole with a global monopole are investigated by using the brick-wall model. The quantum entropy contain two parts: One is quadratically divergent term which takes a geometric character; the other is spin-dependent, logarithmically divergent terms. The whole expression of the entropy of a spin field does not take the form of the scalar field. PACS: 04.70. Dy, 97.60.Lf     

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

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.