Fermions tunneling from the Horowitz-Strominger Dilaton black hole

Abstract

Based on the work of Kerner and Mann, fermions tunneling from the Horowitz-Strominger Dilaton black hole on the membrane is studied. Owing to the coupling among electromagnetic field, matter field and gravity field, the Dirac equation of charged particles is introduced, and according to that, the expected emission temperature is obtained. After the self-gravitational interaction is considered, it is found that the tunneling rate of fermions also satisfies the underlying Unitary theory as the case of scalar particles.Hawking radiation, fermions tunneling, Horowitz-Strominger Dilaton black hole Thirty years ago, Hawking [1,2] proposed and proved that a black hole is not fully black but may emit radiation by calculating the Bogoliubov transformation coefficients between in and out states for a body collapsing to form a black bole. Then Damour and Ruffini [3] introduced another method, which does not depend on the second quantization but adopts the relativistic quantum mechanics in curved background space time, to prove Hawking radiation. In 1988, Sannan [4] improved their work by making use of the idea of quantum field theory and quantum statistics. At the same time, people also proved Hawking radiation from the viewpoint of Temperature Green Function [5] , Path Integral [6] , Action Euclidean Integral [7] , Boulware Second Quantization [8]