Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model

TL;DR

This paper investigates fluctuations and correlations of conserved charges in the $(2+1)$ flavor Polyakov Quark Meson Model, comparing results with lattice data and exploring implications for the QCD phase diagram.

Contribution

It demonstrates the effectiveness of the PQM model in describing conserved charge fluctuations and correlations across different temperature regimes, aligning with lattice data.

Findings

Good qualitative agreement with lattice data for susceptibilities.

Model ratios approach Hadron Resonance Gas predictions at low T.

At high T, susceptibilities resemble those of massless quarks.

Abstract

We consider the $(2+1)$ flavor Polyakov Quark Meson Model and study the fluctuations (correlations) of conserved charges upto sixth (fourth) order. Comparison is made with lattice data wherever available and overall good qualitative agreement is found, more so for the case of the normalised susceptibilities. The model predictions for the ratio of susceptibilities go to that of an ideal gas of hadrons as in Hadron Resonance Gas Model at low temperatures while at high temperature the values are close to that of an ideal gas of massless quarks. Our study provides a strong basis for the use of PQM as an effective model to understand the topology of the QCD phase diagram.