平面对称黑洞的统计熵

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,计算平面对称黑面背景下玻色场与费米场的配分函数,得到黑面熵的积分表达式.然后应用改进的brickwall方法膜模型,计算黑面视界所对应的统计熵.在所得结果中当所取的积分下限和上限都趋于视界上时,可得到黑面熵与相应黑面视界面积成正比的关系,不存在原brickwall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,为研究黑洞熵提供了一条简捷的新途径关键词：量子统计膜模型黑面熵

Statistical entropy of a plane symmetry black hole

By using the method of quantum statistics, we directly derive the partition function of the bosonic and ermionic field on black plane and obtain the integral expression of the black plane's entropy, which avoids the difficulty in solving the wave equation of various particles. Then via the improved brick-wall method, membrane model, we calculate the black plane's entropy and find out that if we let the integral upper and lower limits both tend to the horizon, the entropy of the black plane is proportional to the area of horizon. In our result, the stripped term and the divergent logarithmic term in the original brick-wall method no longer exist. In the whole process, we do not take any approximation. We offer a new simple and direct way of calculating the entropy of different complicated black holes.