# Polyakov linear-sigma model in mean-field approximation and optimized perturbation theory

## TL;DR

This paper compares the Polyakov linear-sigma model using optimized perturbation theory and mean-field approximation, analyzing thermodynamic properties and moments of conserved charges at finite temperature and chemical potential, with implications for QCD accuracy.

## Contribution

It introduces a comparison between OPT and MFA within the PLSM framework, highlighting OPT's improved alignment with lattice QCD results for higher-order charge moments.

## Key findings

- OPT aligns more closely with QCD for higher-order moments.
- Thermodynamic quantities are compared between MFA, OPT, and lattice QCD.
- Higher-order moments show increased accuracy with OPT.

## Abstract

We compare results from the Polyakov linear-sigma model (PLSM) in optimized perturbation theory (OPT) with the mean-field approximation (MFA). At finite temperatures and chemical potentials, the chiral condensates and the decofinement order parameters, the thermodynamic pressure, the pseudo-critical temperatures, the subtracted condensates, the second- and high-order moments of various conserved charges (cumulants) obtained in MFA are compared with OPT and also confronted to available lattice QCD simulations. We conclude that when moving from lower- to higher-order moments of various quantum charges, OPT becomes more closer to QCD.