在高统计量Wuppertal-Budapest数据中寻找Lee-Yang边缘奇点
Search for a Lee-Yang edge singularity in high-statistics Wuppertal-Budapest data
AI总结：
本文利用Wuppertal-Budapest合作组的高统计量格点QCD数据，通过将自由能建模为重子化学势的有理函数并约束净重子密度累积量，估计QCD相图中Lee-Yang边缘奇点的位置，以研究临界端点。
摘要：
在临界端点附近，Lee-Yang边缘奇点在复化学势平面中趋近实轴。在临界点附近，这种趋近的函数形式取决于普适类。假设QCD相图中存在三维Ising临界点，如果Lee-Yang边缘奇点的位置在多个温度下已知，就可以外推临界端点的位置。一种常用的估计奇点位置的方法是将自由能建模为重子化学势$μ_\text{B}$的有理函数。该模型的参数可以通过在$μ_\text{B}^2\leq0$处取得的净重子密度累积量来约束。利用Wuppertal-Budapest合作组在晶格$16^3\times8$上的高统计量模拟，我们估计了QCD相图中最近奇点的位置。我们还比较了自由能函数形式的各种模型，并讨论了该方法的预测能力。
英文摘要：
Near a critical endpoint the Lee-Yang edge singularity approaches the real axis in the complex chemical potential plane. In the vicinity of the critical point the functional form of this approach depends on the universality class. Assuming a three dimensional Ising critical point in the QCD phase diagram the location of the critical endpoint can be extrapolated provided that the position of the Lee-Yang edge singularity is known at multiple temperatures. A popular method to estimate the position of a singularity is to model the free energy as a rational function of the baryon chemical potential $μ_\text{B}$. The parameters of this model can be constrained by the cumulants of the net baryon density taken at $μ_\text{B}^2\leq0$ . Using high-statistics simulations on a lattice $16^3\times8$ by the Wuppertal-Budapest Collaboration we estimate the location of the closest singularity in the QCD phase diagram. We also compare various models for the functional form of the free energy and discuss the predictive power of this approach.
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