Quantum tunneling of spin-1/2 and spin-3/2 particles in the black holes of asymptotically safe gravity

Hawking initiated study of radiations from black holes. The black hole thermodynamics holds a significant importance in understanding of quantum nature of gravity. In this article, Hawking radiations have been studied by employing the semi-classical perspective of quantum tunneling. Dirac and Rarita-Schwinger equations have been employed to determine the tunneling probabilities of spin-1/2 and spin-3/2 particles, respectively, in the background of black holes developed in the asymptotically safe gravity. Hawking temperature determined in both cases is in agreement.