We studied the correction of the quantum tunneling radiation of fermions with spin 1/2 in Kerr anti-de-Sitter black hole. First, the dynamic equation of spin 1/2 fermions was corrected using Lorentz’s violation theory. Second, the new expressions of the fermions quantum tunneling rate, the Hawking temperature of the black hole and the entropy of the black hole were obtained according to the corrected fermions dynamic equation. Our results show that Hawking temperature increases with the enhancement of both the coupling strength and the radial component of ether-like field, but is independent of non-radial components of ether-like field. At last, some comments are made on the results of our work.

我们研究了克尔反德西特黑洞中自旋为 1/2 的费米子量子隧穿辐射的校正。首先，使用洛伦兹违反理论修正自旋1/2费米子的动力学方程。其次，根据修正后的费米子动力学方程，得到了费米子量子隧穿率、黑洞霍金温度和黑洞熵的新表达式。我们的结果表明霍金温度随着耦合强度和类醚场径向分量的增强而增加，但与类醚场的非径向分量无关。最后，对我们的工作成果发表了一些意见。