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

TL;DR

This paper investigates how the Generalized Uncertainty Principle affects the thermodynamics of quark-gluon plasma, achieving results consistent with lattice QCD data and revealing significant effects on the equation of state.

Contribution

It introduces the GUP into QGP thermodynamics, providing a novel approach that aligns with lattice QCD results and highlights the impact of minimal length scenarios.

Findings

GUP significantly affects QGP thermodynamics

Results match lattice QCD data for various flavors

Large bag pressure indicates strong quark correlations

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.