UV/IR Mixing and Black Hole Thermodynamics

Abstract

The goal of this paper is to investigate the final stage of black hole evaporation process in the framework of Lorentz violating Modified Dispersion Relations(MDRs). As a consequence of MDRs, the high energy sector of the underlying field theory does not decouple from the low energy sector, the phenomenon which is known as UV/IR mixing. In the absence of exact supersymmetry, we derive a modified dispersion relation which shows UV/IR mixing by a novel energy dependence. Then we investigate the effects of these type of MDRs on the thermodynamics of a radiating noncommutative Schwarzschild black hole. The final stage of black hole evaporation obtained in this framework is compared with existing pictures.