Quark-gluon plasma fireball evolution with one-loop correction in the mean-field potential

S S Singh,R Ramanathan

doi:10.1093/ptep/ptu129

Abstract

The study of the free energy evolution of quark–gluon plasma (QGP) with one-loop correction factor in the mean-field potential is discussed. The energy evolution with the effect of the correction factor in potential shows a higher transition temperature in the range of |$T=180$| to |$250$|MeV in comparison to the transition temperature without the one-loop correction factor. The transition temperature is also affected by the dynamical flow parameter of quark and gluon used in the potential and it results in decreasing observable QGP droplets of stable radius 2.5–4.5 fm.

Highlights

The study of phase transition [1,2] from a confined system of quarks in hadrons to a deconfined state has become an interesting topic in the last two decades
We construct the density of states with one-loop correction factor in the potential and study the free energy evolution affected by the loop correction
It indicates that the free energy of the system is modified with changes in the amplitude by inclusion of one-loop correction in the interacting potential, and it may be compared to the transitions that are indicated in Figs. 1–8 of Ref. [8], where the same is computed without the inclusion of one-loop correction to the mean-field potential

Summary

Introduction

The study of phase transition [1,2] from a confined system of quarks in hadrons to a deconfined state has become an interesting topic in the last two decades. The study of the quark–gluon plasma (QGP) fireball in ultra-relativistic heavy-ion collisions has become an exciting field in current heavy-ion collider physics [3,4,5] In this brief paper, we focus on QGP evolution through the free energy expansion of the system. Due to the correction factor in the potential through the coupling value [6,7,8,9,10], there are changes in the free energy expansion of the QGP fireball, and it impacts the stability of droplets with the variation of dynamical quark and gluon flow parameters. We construct the density of states with one-loop correction factor in the potential and study the free energy evolution affected by the loop correction.

The free energy evolution

Results

Conclusion