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Advances in High Energy Physics
Volume 2018, Article ID 8968732, 7 pages
https://doi.org/10.1155/2018/8968732
Research Article

Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

1Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka 1000, Bangladesh
2Bose Centre for Advanced Study and Research in Natural Science, University of Dhaka, Dhaka, Bangladesh
3Physics Department, McGill University, Montreal, QC, Canada H3A 2T8

Correspondence should be addressed to Mir Mehedi Faruk; moc.liamg@6141.3azrutum

Received 25 September 2017; Revised 14 December 2017; Accepted 15 February 2018; Published 18 March 2018

Academic Editor: Elias C. Vagenas

Copyright © 2018 Shovon Biswas and Mir Mehedi Faruk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics. In this paper, we resort to the methods of statistical mechanics in order to determine the effects of a deformed dispersion relation along with an upper bound in the partition function that maximum energy and/or momentum scale can have on the thermodynamics of photon gas. We also analyzed two distinct quantum gravity models in this paper.