黑洞的量子统计熵

Quantum Statistical Entropy of Black Hole

避开求解各种粒子波动方程的困难 ,直接应用量子统计的方法 ,计算各种坐标描述的黑洞背景下玻色场与费米场的配分函数 ,得到黑洞熵的积分表达式 .然后应用改进的 brick- wall方法 -膜模型 ,计算黑洞的统计熵 .在所得结果中取适当的参数 ,可得到黑洞熵与视界面积成正比的关系 ,不存在原 brick- wall方法中的舍去项与对数发散项 .整个计算过程 ,物理图像清楚 ,计算简单 ,为研究各种坐标下黑洞熵提供了一条简捷的新途经 .

Using the method of quantum statistics, the authors derive the partition function of bosonic and fermionic field in various co-ordinates and obtain the integral expression of the entropy of black hole. Then via the improved brick-wall method and membrane model, the authors obtain that if they choose proper parameter, the entropy of black hole is proportional to the area of horizon. In their result, the stripped term and the divergent logarithmic term in the original brick-wall method no longer exist. The authors offer a new simple and direct way of calculating the entropy of black holes in various co-ordinates.