Polyakov linear SU(3) sigma model: features of higher order moments in dense and thermal hadronic medium

TL;DR

This paper uses a Polyakov linear SU(3) sigma model to analyze higher order moments in dense and thermal hadronic media, comparing results with lattice QCD and thermal models to understand phase transitions.

Contribution

It introduces a comprehensive study of higher order moments within the Polyakov linear sigma model, linking thermodynamic quantities to phase transition phenomena in dense hadronic matter.

Findings

Higher order moments are sensitive to the chiral phase transition.

Results agree with lattice QCD calculations and thermal model predictions.

The model maps out the chiral phase diagram effectively.

Abstract

In order to characterize the higher order moments of the particle multiplicity, we implement the linear-sigma model with Polyakov-loop correction. We first studied the critical phenomena and estimated some thermodynamic quantities. Then, we compared all these results with the first--principle lattice QCD calculations. Then, the extensive study of non-normalized four moments is followed by investigating their thermal and density dependence. We repeat this for moments normalized to temperature and chemical potential. The fluctuations of the second order moment is used to estimate the chiral phase--transition. Then, we implement all these in mapping out the chiral phase transition, which shall be compared with the freeze-out parameters estimated from the lattice QCD simulations and the thermal models are compared with the chiral phase--diagram.