The thermodynamic properties of weakly interacting quark-gluon plasma via the one-gluon exchange interaction

Abstract

The thermodynamic properties of the quark gluon plasma (QGP ) as well as its phase diagram are calculated as a function of baryon density (chemical potential) and temperature. The QGP is assumed to be composed of the light quarks only, i.e. the up and the down quarks, which interact weakly and the gluons which are treated as they are free. The interaction between quarks is considered in the framework of the one gluon exchange model which is obtained from the Fermi liquid picture. The bag model is used, with fixed bag pressure (B) for the nonperturbative part and the quantum chromodynamics (QCD) coupling is assumed to be constant i.e. no dependence on the temperature or the baryon density. The effect of weakly interacting quarks on the QGP phase diagram are shown and discussed. It is demonstrated that the one gluon exchange interaction for the massless quarks has considerable effect on the QGP phase diagram and it causes the system to reach to the confined phase at the smaller baryon densities and temperatures. The pressure of excluded volume hadron gas model is also used to find the transition phase-diagram. Our results depend on the values of bag pressure and the QCD coupling constant which the latter does not have a dramatic effect on our calculations . Finally, we compare our results with the thermodynamic properties of strange quark matter and the lattice QCD prediction for the QGP transition critical temperature.

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

“…In Refs. [15,22,37], the authors found the entropy increases with increasing temperature for light quark, strange quark, and natural particles. We have the same conclusion for charm quark.…”

“…In Ref. [15], the quark -gluon plasma is assumed to be composed of the light quarks only such as the up and down quarks, which interact weakly, and the gluons which are treated as they are free. They found the free energy decreases with increasing temperature.…”

“…In these works, thermodynamic properties the light quark, the strange quark, and natural particles are studied. Therefore, the thermodynamic properties for charmonium are not considered in many works such as [15,22,37]. For N > 3, the dimensionality number plays an important role in changing the behavior of thermodynamic properties for charmonium.…”

“…The thermodynamic properties play an essential role in describing quark-gluon plasma [15], in which the thermodynamic properties of light quarks are calculated in comparison with the strange quark matter. In Ref.…”

Correlation corrections to the thermodynamic properties of spin-asymmetric QGP matter

“…[30,[38][39][40]. Several attempts have also been made to study the EOS for interacting QCD matter [31,32,34,36,41,42]. For example, new lattice results for the equation of state of QCD with 2 + 1 dynamical flavors were obtained in [41,42].…”