三维O（4）对称模型的普适性质：自由能量密度及其导数的标度函数
Universal properties of 3d O(4) symmetric models: The scaling function of the free energy density and its derivatives
摘要：
我们提出了直接表示的标度函数的3d O（4）模型，这是相关的比较其他模型，特别是QCD。这是根据缩放变量z=t/h^{1/βδ}的展开来完成的。z=0附近的展开式和z --> +/- infty的相应渐近展开式重叠，因此不需要插值。我们明确提出的膨胀系数，已确定的数值从以前的高统计模拟的O（4）模型的线性扩展L=120的三维晶格上的数据。这允许导出的自由能量密度的标度函数的前三个衍生物的平滑表示，这确定高达六阶累积量的净电荷波动QCD的普遍属性。
英文摘要：
We present direct representations of the scaling functions of the 3d O(4) model which are relevant for comparisons to other models, in particular QCD. This is done in terms of expansions in the scaling variable z=t/h^{1/βδ}. The expansions around z=0 and the corresponding asymptotic ones for z --> +/- infty, overlap such that no interpolation is needed. We explicitly present the expansion coefficients which have been determined numerically from data of a previous high statistics simulation of the O(4) model on a three-dimensional lattice of linear extension L=120. This allows to derive smooth representations of the first three derivatives of the scaling function of the free energy density, which determine universal properties of up to sixth order cumulants of net charge fluctuations in QCD.
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