Kermions

Abstract

In the framework of quantum field theory in curved space-time, we study the quantization of a massless fermion field on a non-extremal Kerr black hole. The key theme in this note is the fundamental difference between scalar and fermion fields for the process of defining quantum states. In particular, we define two new states for fermions on Kerr which cannot be defined for quantum scalar fields on Kerr. These two states are the analogues of the standard Boulware and HartleHawking states on a Schwarzschild black hole.

Quasi-normal modes and fermionic vacuum decay around a Kerr black hole

“…The QNM spectrum of massive Dirac fields has been studied in the literature [14][15][16][17][18], but so far only at the classical level. Notice that the structure of the vacuum states for massless fermions has been studied by various authors [19,20], and there is no vacuum decay in this case.…”