Effects of Model Parameters in Thermodynamics of the PNJL Model

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.