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Advances in High Energy Physics
Volume 2015, Article ID 103576, 7 pages
Research Article

The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

Physics Department, Faculty of Science, Benha University, Benha 13518, Egypt

Received 13 July 2015; Accepted 19 September 2015

Academic Editor: Elias C. Vagenas

Copyright © 2015 L. I. Abou-Salem et al. 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.


The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case of , , and flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case of flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.