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arXiv · 1507.03533

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

L. I. AbouSalem·N. M. El Naggar·I. A. Elmashad
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Abstract

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 $n_{f}=0$, $n_{f}=2$ and $n_{f}=2+1$ 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 $n_{f}=2+1$ 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.

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L. I. AbouSalem, N. M. El Naggar, I. A. Elmashad. 2015-07-13. The Quark-Gluon Plasma Equation of State and The Generalized Uncertainty Principle. https://arxiv.org/abs/1507.03533

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