无截断薄膜模型与Dirac场的黑洞熵

计算黑洞熵的砖墙模型被改进为薄膜模型后其物理思想更直接而明了,且突出了事件视界作为静态或稳态黑洞特征面的重要性.但为避免发散,薄膜模型同样需要引入紫外截断因子.截断因子的引入非常人为,至今没有给以合理的解释.有文献将广义不确定关系引入黑洞熵的计算而不需要任何截断便可避免发散.本文以静态球对称黑洞Dirac场的熵的计算为例,阐述了无截断薄膜模型及其与有截断薄膜模型的本质区别. 关键词： 黑洞熵 无截断薄膜模型 广义不确定关系 Dirac场

The thin film model without cutoff and the black hole entropy of Dirac field

The physical idea of thin film model improved from brick-wall model is more direct and clearer than brick-wall model and gives prominence to the significance of the event horizon serving as the characteristic surface of a static or stationary black hole. To remove the divergence of the density of states, an ultraviolet cutoff factor is also introduced into the thin film model. The cutoff is introduced artificially and it has not been understood clearly up to now. There is an indication in a reference that the divergence can be removed without any cutoff when the generalized uncertainty relation is used to calculate black hole entropy. In this paper, thin film model without cutoff and the essential difference between the thin film model without cutoff and the thin film model with cutoff are expounded by the example of calculating the entropy of spherically symmetric static black hole Dirac field.