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

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.