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Title: Net quark number probability distribution near the chiral crossover transition
Authors: Morita, Kenji
Friman, Bengt
Redlich, Krzysztof
Skokov, Vladimir
Author's alias: 森田, 健司
Issue Date: 12-Sep-2013
Publisher: American Physical Society
Journal title: Physical Review C
Volume: 88
Issue: 3
Thesis number: 034903
Abstract: We investigate properties of the probability distribution of the net quark number near the chiral crossover transition in the quark-meson model. The calculations are performed within the functional renormalization group approach, as well as in the mean-field approximation. We find that there is a substantial influence of the underlying chiral phase transition on the properties of the probability distribution. In particular, for a physical pion mass, the distribution which includes the effect of mesonic fluctuations, differs considerably from both, the mean-field and Skellam distributions. The latter is considered as a reference for a noncritical behavior. A characteristic feature of the net quark number probability distribution is that, in the vicinity of the chiral crossover transition in the O(4) universality class, it is narrower than the corresponding mean-field and Skellam function. We study the volume dependence of the probability distribution, as well as the resulting cumulants, and discuss their approximate scaling properties.
Rights: ©2013 American Physical Society
DOI(Published Version): 10.1103/PhysRevC.88.034903
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