Equation of state of quark-gluon plasma using a simple phenomenological model

Abstract

Abstract. The equation of state (EoS) of quark-gluon plasma (QGP) using a phenomenological model is studied in which finite value of quark mass is modified as effective mass. The effective mass of these quasiparticle generated due to the interaction of quarks and gluons with the surrounding matter in the medium. The model results provide EoS of QGP which are in good agreement and found almost similar results to the earlier theoretical results. This model is successfully applied to the description of the properties of quark-gluon plasma created in the collision of nucleons. Thus, the effective mass of quark shows the useful information to study the EoS of QGP in high energy heavy-ion collisions.

Effect of Magnetic Field on QGP Equation of State

“…Based on earlier model [7,8], the effective quark mass is suitably modified using magnetic field. Therefore, the effective quark mass in the presence of magnetic field is called magnetized effective quark mass (MEQM) [9].…”

“…Where m c and m q are current and thermal mass of quark [8,12]. The values n = 0, 1, 2, ...., are the principle quantum numbers for allowed Landau levels, s = ±1 refers to spin up (+) or down (−) states, and k is the component of particle momentum along the direction of the external magnetic field.…”

“…The modified free energy for quarks is defined in the presence of magnetic field along z-axis using Ref. [8,12]. It is defined as:…”

“…where M is the magnetization. Here F 0 q is the free energy for fermions (quarks) in the limit of zero magnetic field [8,12] and F B q is the quark free energy shift induced by magnetic field. It is defined as in Ref.…”

“…The g q,g is quarks and gluons degeneracy factor. In the framework of the same model, the interfacial free energy is introduced [8,12]. Finally, we calculate the total free energy which includes the terms like magnetic quark free energy, gluon free energy and interface free energy.…”