5维黑洞背景下费米子的霍金辐射

发布时间：2018-04-10 19:12

本文选题：Hawking辐射 + 量子反常　；参考：《兰州大学》2012年硕士论文

【摘要】：本文基于量子反常抵消方法,有效作用量方法,Damour-Ruffini-Sannan(DRS)方法以及密度矩阵技术研究了五维Godel黑洞和五维Myers-Perry黑洞Dirac粒子的Hawking辐射和Hawking黑体谱。利用维度约化技术,我们发现五维Godel黑洞和五维Myers-Perry黑洞中的费米场可以由(1+1)维背景时空下的二分量量子场和Dilaton场与U(1)规范场的耦合所描述。在这个有效两维的量子场中,因为所有入的模式不能影响到视界面外部的物理效应,在规范和一般坐标对称性条件下,外部的有效二维作用量体现出了奇异性。为了抵消奇异反常,Hawking通量就变成了视界面上的反常荷。从而得到了Hawking温度和Hawking通量。在有效作用量基础上,通过取协变的边界条件,协变的规范通流以及协变能动张量,由迹反常也可以正确的推导出Hawking通量。这种方法非常的直接和有效,因为通量和能动张量的表达可直接通过对有效作用量的函数微分获得。为了形成对照,我们还通过DRS方法计算了黑洞的Hawking温度。而这三种方法所得到的Hawking温度都和表面引力机制相一致。量子反常抵消取消方法和有效作用量方法所得到的Hawking通量也和Planck分布一致。最后,我们通过密度矩阵技术得到了五维Godel黑洞和五维Myers-Perry黑洞的Hawking辐射谱。结果表明,辐射光谱在Hawking温度下是一个完美的黑体辐射谱。
[Abstract]:Based on the quantum anomalous cancellation method, the effective action method Damour-Ruffini-Sannan DRS method and the density matrix technique, the Hawking radiation and Hawking blackbody spectra of Dirac particles in five-dimensional Godel black holes and five-dimensional Myers-Perry black holes are studied.By using dimensionality reduction technique, we find that the Fermi field in five-dimensional Godel black hole and five-dimensional Myers-Perry black hole can be described by the coupling of two-component quantum field and Dilaton field with Ut1) gauge field.In this effective two-dimensional quantum field, because all the incoming modes can not affect the physical effects outside the visual interface, the external effective two-dimensional interaction shows singularity under the condition of normal and general coordinate symmetry.In order to counteract the strange anomalous Hawking flux, it becomes anomalous charge on the apparent interface.The Hawking temperature and Hawking flux are obtained.On the basis of effective action, Hawking flux can be derived from trace anomaly by taking the boundary conditions of covariant, covariant canonical current and covariant active Zhang Liang.This method is very direct and effective because the expression of flux and active Zhang Liang can be obtained directly through the functional differentiation of the effective action.For comparison, we also calculate the Hawking temperature of black hole by DRS method.The Hawking temperature obtained by these three methods is consistent with the surface gravitation mechanism.The Hawking flux obtained by the quantum anomalous cancellation method and the effective action method is also consistent with the Planck distribution.Finally, we obtain the Hawking radiation spectra of five dimensional Godel black holes and five dimensional Myers-Perry black holes by density matrix technique.The results show that the radiation spectrum is a perfect blackbody spectrum at Hawking temperature.
【学位授予单位】：兰州大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：P145.8

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