Minimal length, maximal momentum and thermodynamics of black body radiation

Abstract

In this paper we study thermodynamics of black body radiation in the presence of quantum gravitational effects through a Generalized Uncertainty Principle that admits both a minimal measurable length and a maximal momentum. We focus on quantum gravity induced modifications of thermodynamical quantities in this framework. Some important issues such as the generalized Planck distribution, Wien s law and Dulong Petit law are studied in this setup with details.