Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

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 ef...

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Main Authors: Shovon Biswas, Mir Mehedi Faruk
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/8968732
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author Shovon Biswas
Mir Mehedi Faruk
author_facet Shovon Biswas
Mir Mehedi Faruk
author_sort Shovon Biswas
collection DOAJ
description 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.
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spelling doaj-art-aaca08232eaf4a86af276e3fe08fa1642025-08-20T02:20:52ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/89687328968732Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion RelationShovon Biswas0Mir Mehedi Faruk1Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka 1000, BangladeshBose Centre for Advanced Study and Research in Natural Science, University of Dhaka, Dhaka, BangladeshPlanck 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.http://dx.doi.org/10.1155/2018/8968732
spellingShingle Shovon Biswas
Mir Mehedi Faruk
Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
Advances in High Energy Physics
title Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
title_full Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
title_fullStr Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
title_full_unstemmed Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
title_short Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
title_sort quantum gravity effects in statistical mechanics with modified dispersion relation
url http://dx.doi.org/10.1155/2018/8968732
work_keys_str_mv AT shovonbiswas quantumgravityeffectsinstatisticalmechanicswithmodifieddispersionrelation
AT mirmehedifaruk quantumgravityeffectsinstatisticalmechanicswithmodifieddispersionrelation