Exploring the role of model parameters and regularization procedures in the thermodynamics of the PNJL model

TL;DR

This paper investigates how parameter choices and regularization procedures influence the thermodynamic predictions of the PNJL model, emphasizing the importance of these factors for accurate modeling and comparison with lattice data.

Contribution

It demonstrates the critical impact of parameter selection and regularization on the thermodynamic behavior predicted by the PNJL model, aligning results with thermodynamic principles and lattice data.

Findings

Proper parameter choice is essential for accurate isentropic trajectories.

Regularization effects significantly influence thermodynamic consistency.

Results agree with thermodynamic expectations and lattice data.

Abstract

The equation of state and the critical behavior around the critical end point are studied in the context of the Polyakov--Nambu--Jona--Lasinio model. We prove that a convenient choice of the model parameters is crucial to get the correct description of isentropic trajectories. The physical relevance of the effects of the regularization procedure is insured by the agreement with general thermodynamic requirements. The results are compared with simple thermodynamic expectations and lattice data.