Monte-Carlo simulations of QCD Thermodynamics in the PNJL model

TL;DR

This paper employs Monte-Carlo simulations within the PNJL model to incorporate field fluctuations, analyzing their effects on QCD thermodynamics and comparing results with lattice data.

Contribution

It introduces a Monte-Carlo approach to the PNJL model, going beyond mean field to include fluctuations and improve thermodynamic predictions.

Findings

Fluctuations significantly affect thermodynamic quantities.

Results align well with lattice QCD data.

Enhanced understanding of QCD phase transitions.

Abstract

We apply a Monte-Carlo method to the two flavor Polyakov loop extended Nambu and Jona-Lasinio (PNJL) model. In such a way we can go beyond mean field calculations introducing fluctuations of the fields. We study the impact of fluctuations on the thermodynamics of the model. We calculate the second derivatives of the thermodynamic grand canonical partition function with respect to the chemical potential and present a comparison with lattice data also for flavor non-diagonal susceptibilities.