Effects of Model Parameters in Thermodynamics of the PNJL Model

TL;DR

This paper investigates how different model parameters and potential forms affect the thermodynamic predictions of the PNJL model at finite chemical potential, highlighting the sensitivity to potential form over data set.

Contribution

It introduces a comparative analysis of polynomial and logarithmic potential forms using new lattice gluon data within the PNJL model.

Findings

Thermodynamics depends more on potential form than on lattice data set.

The phase diagram in the (T, μ) plane is significantly influenced by potential choice.

Different potential forms lead to notable variations in thermodynamic predictions.

Abstract

The thermodynamic behavior of the two-flavor($N_f=$2) three-color ($N_c=3$) Polyakov-loop-extended Nambu-Jona-Lasinio model at the finite chemical potential is investigated. New lattice gluon data for gluon thermodynamics are used defining the effective potential within polynomial and logarithmic forms of its approximation. We study the effects of using different sets of data and different forms of the potential on thermodynamic properties of hot and dense matter. It is found that the PNJL thermodynamics depends stronger on the form of the effective potential than on the used lattice data set. Particular attention is paid to the phase diagram in the $(T,\mu)$ plane.