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.

Statistical Entropy of Dirac Field in Schwarzschild-anti-de Sitter Space-time

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, ft 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 |A|r2 h.