有限密度下净重子数概率分布的临界性
Criticality of the net-baryon number probability distribution at finite density
摘要：
在夸克-介子模型中，利用泛函重整化群方法计算了有限温度下净重子数的概率分布$P(N)$和π质量物理值下夸克化学势$μ$.对于$μ/T<1$，该模型表现出属于$O(4)$三维自旋体系普适类的手征交叉跃迁.我们探讨了手征交叉跃迁对重子净概率分布$P(N)$性质的影响。通过考虑$P(N)$的比例，以相同的平均值和方差，我们解开的分布，相关的$O(4)$临界手性交叉过渡的特征。我们探讨了相应的比率在RHIC获得的数据由STAR合作，并讨论其影响。我们还研究了$O(4)$临界性的背景下，二项式和负二项式分布的净质子数。
英文摘要：
We compute the probability distribution $P(N)$ of the net-baryon number at finite temperature and quark-chemical potential, $μ$, at a physical value of the pion mass in the quark-meson model within the functional renormalization group scheme. For $μ/T<1$, the model exhibits the chiral crossover transition which belongs to the universality class of the $O(4)$ spin system in three dimensions. We explore the influence of the chiral crossover transition on the properties of the net baryon number probability distribution, $P(N)$. By considering ratios of $P(N)$ to the Skellam function, with the same mean and variance, we unravel the characteristic features of the distribution that are related to $O(4)$ criticality at the chiral crossover transition. We explore the corresponding ratios for data obtained at RHIC by the STAR Collaboration and discuss their implications. We also examine $O(4)$ criticality in the context of binomial and negative-binomial distributions for the net proton number.
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