Kenji Morita, Vladimir Skokov, Bengt Friman, Krzysztof Redlich
We discuss the properties of the net baryon number probability distribution near the chiral phase transition. Our studies are performed within Landau theory, where the coefficients of the polynomial potential are parameterized so as to reproduce the mean-field and O(4) scaling behaviors of the cumulants of the net baryon number. Within this model, we obtain the probability distribution for the net baryon number in a finite volume and study the effect of critical fluctuations on their properties. We show that in a mean-field approach, the singular part of the probability distribution can be obtained exactly and that it tends to broaden the distribution. By contrast, in the model with O(4) scaling, the contribution of the singular part results in a narrowing of the net baryon number distribution. As expected, we find that the critical structures observed in the cumulants on the O(4) critical line reflect modifications mainly in the tails of the distribution. We explore various methods for computing the probability distributions.
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http://arxiv.org/abs/1211.4703
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