洛伦兹对称破缺旋量场的霍金隧穿辐射  

Hawking Tunneling Radiation in Lorentz-violating Spinor Field Theory

作　　者：陶军 蒲瑾 杨树政 TAO Jun;PU Jin;YANG Shuzheng(College of Physics and Space Science,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学物理与空间科学学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2021年第1期48-53,共6页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金项目(11573022);西华师范大学英才基金项目(17YC513,17C050);西华师范大学教育教学改革项目(jgxmyb18140)。

摘　　要：基于洛伦兹破缺旋量场理论研究带电Garfink-Horne Dilaton黑洞Dirac粒子的霍金隧穿辐射,发现洛伦兹破缺效应修正了黑洞的霍金隧穿辐射性质。首先,将洛仑兹破缺修正的Dirac方程从平直时空推广到带电的Garfink-Horne Dilaton黑洞弯曲时空,然后利用gamma矩阵的反对易关系在洛伦兹破缺旋量场理论中得到修正的Dirac-Hamilton-Jacobi方程,发现类以太项和CFJ项分别修正了Dirac-Hamilton-Jacobi方程中的作用量S项和质量项。接着,利用修正后的Dirac-Hamilton-Jacobi方程对带电Garfink-Horne Dilaton黑洞视界处的隧穿辐射进行研究,得到了修正的隧穿辐射率、霍金温度和熵。一个有意思的发现是,洛伦兹破缺修正的带电的Garfink-Horne Dilaton黑洞热力学性质只与类以太项有关,与手征项和CFJ项无关。Based on the study of Dirac particles via Hawking tunneling radiation from the charged Garfink-Horne Dilaton black hole in Lorentz violating spinor field theory,it is found that the effect of Lorentz-violating has modified the Hawking tunneling radiation properties of black hole.Firstly,Dirac equation modified by Lorentz-violating is extended from the flat space-time to the curved space-time of the charged Garfink-Horne Dilaton black hole.Secondly,the correction of Dirac-Hamilton-Jacobi equation is obtained in Lorentz-violating spinor field theory by considering the anti-commutative relation of the gamma matric.It shows that the action function S and the mass term in Dirac-Hamilton-Jacobi equation are respectively modified by the aether-like term and CFJ term.Then,the correction of tunneling probability,Hawking temperature and entropy are obtained by studying the tunneling radiation from the event horizon of the charged Garfink-Horne Dilaton black hole according to the modified Dirac-Hamilton-Jacobi equation.It is interesting to notice that the thermodynamic properties of the charged Garfink-Horne Dilaton black hole modified by Lorentz-violating have everything to do with the aether-like term but nothing to do with the chiral term and CFJ term.

关 键 词：洛伦兹破缺 霍金辐射 黑洞热力学 修正的Dirac-Hamilton-Jacobi方程 霍金温度 

分 类 号：O412.1[理学—理论物理]