Kurtosis and compressibility near the chiral phase transition

Details Kurtosis and compressibility near the chiral phase transition Kurtosis and compressibility near the chiral phase transition

2008-09-18

arxiv.org/abs/0809.3129v1

Phys.Lett.B673:192-196,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1016/j.physletb.2009.02.018

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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