Thermal effects of a photon gas with a deformed Heisenberg algebra

Abstract

In this paper we have consider the thermodynamics of a photon gas subject to the presence of a minimal measurable length following from a covariant extension of the original generalized uncertainty principle (GUP). After establishing consistently a generalized dynamics, we define a GUP deformed Maxwell invariant which serves as the basis for our study. In order to highlight the GUP effects we compute the one- and two-loop order contribution to the partition function at the high-temperature limit. Afterwards, by computing the internal energy density we conclude that the additional terms can be seen as corrections $\delta {\sigma }_{\mathrm{gup}}$ to the Stefan-Boltzmann law due to GUP effects.

17 pages, 2 figures. Accepted for publication at IJMPA

References in corpus (2)

• Discreteness of Space from the Generalized Uncertainty Principle
• Thermodynamics of Photon Gas with an Invariant Energy Scale

Cited by in corpus (1)

• Exotic fermionic fields and minimal length