Kurtosis and compressibility near the chiral phase transition

Abstract

The properties of net quark number fluctuations in the vicinity of the QCD chiral phase transition are discussed in terms of an effective chiral model in the mean-field approximation. We focus on the ratio of the fourth- to second- order cumulants (kurtosis) and the compressibility of the system and discuss their dependence on the pion mass. It is shown that near the chiral phase transition, both observables are sensitive to the value of $m_{\pi }$. For physical $m_{\pi }$, the kurtosis exhibits a peak whereas the inverse compressibility shows a dip at the pseudocritical temperature. These structures disappear for large $m_{\pi }$. Our results, obtained in an effective model with two flavors, are qualitatively consistent with recent results of 2+1 flavor lattice gauge theory. We also discuss the high- and low-temperature properties of these observables and the role of the coupling of the quark degrees of freedom to the Polyakov loop.

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• On the Higher Moments of Particle Multiplicity, Chemical Freeze-Out and QCD Critical Endpoint
• Study of the Fluctuations of Net-charge and Net-protons Using Higher Order Moments
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• Exploring Dense and Cold QCD in Magnetic Fields
• Isothermal compressibility of hadronic matter formed in relativistic nuclear collisions
• Higher Moments of Net-Baryon Distribution as Probes of QCD Critical Point
• Probing QCD chiral cross over transition in heavy ion collisions with fluctuations
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• The QCD Phase Diagram from Chiral Approaches
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
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• Momentum scale dependence of the net quark number fluctuations near chiral crossover
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