Broadening of the chiral critical region in a hydrodynamically expanding medium

Abstract

We investigate higher cumulants of the sigma field as the chiral order parameter at the QCD phase transition. We derive a thermodynamic expression for the skewness and kurtosis from susceptibilities and use these to determine $S\sigma$ and $\kappa {\sigma }^2$ for the sigma field in equilibrium. In a next step, we study the behavior of these cumulants in both an equilibrated static medium and an expanding medium resembling the hydrodynamic stage of a heavy-ion collision. For the latter one, we find a significant broadening of the critical region.

arXiv comment7 pages, 3 figures, accepted for publication in EPJ A

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• Information entropy for central ${}^{197}$Au+${}^{197}$Au collisions with the ultrarelativistic quantum molecular dynamics model
• Net-proton number cumulant ratios as function of beam energy from an expanding nonequilibrium chiral fluid
• Cumulants of the chiral order parameter at lower RHIC energies