自旋场对Barriola-Vilenkin黑洞熵的量子修正

Quantum Corrects to the Entropy of the Barriola-Vilenk in Black Hole Due to Spin Fields

用砖墙模型的方法 ,讨论了无源电磁、中微子场对 Barriola- Vilenkin黑洞熵的量子修正 .计算表明 ,量子修正应该包含两部分 :其中一部分与视界面积成正比 ,在视界附近与紫外截断因子∈是平方反比发散的 ;另一部分是两个对数发散项 ,这部分除了与黑洞的本身特征性质有关以外 ,还与自旋场的自旋有关 .结果与标量场引起的量子修正具有完全不同的形式 .

The quantum corrections to the entropy of the Barriola-Vilenkin black hole due to the gravitation electromagnetic and neutrino fields are calculated by using the brick-wall model. It is shown that the quantum corrects consist in two parts: One is aquadratic divergent term at event horizon and is proportional to the surface area of the event horizon. The other is two logarithmically divergent terms which not only depend on the characteristics of the black hole but also on the spin of fields. The whole expression does not take the form of the scalar field.