UV/IR Mixing and Black Hole Thermodynamics

TL;DR

This paper explores how Lorentz-violating modified dispersion relations, exhibiting UV/IR mixing, influence the final evaporation stage of noncommutative Schwarzschild black holes, revealing novel thermodynamic behaviors and deviations from traditional models.

Contribution

It introduces a new class of MDRs with UV/IR mixing effects and analyzes their impact on black hole thermodynamics during evaporation.

Findings

UV/IR mixing affects black hole evaporation dynamics

Modified dispersion relations alter thermodynamic properties

Final evaporation stage differs from classical predictions

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.