AI 中文总结
本研究提出基于普适性的方法，利用Lee-Yang边缘奇点重建QCD手征交叉线，应用于Wuppertal-Budapest合作组数据得到的结果与现有格点QCD结果一致，为QCD交叉线提供了定量约束并建立可系统改进的框架。
AI 中文摘要
我们提出了一种基于普适性的方法，利用重子化学势复平面中的Lee-Yang边缘奇点重建QCD手征交叉线。该框架将从格点提取的、作为边缘奇点代理的复Lee-Yang零点估计值，映射到普适手征Lee-Yang边缘，从而确定轻夸克手征极限下手征临界线以及物理夸克质量下赝临界交叉线的$μ_B$依赖关系。作为示例，我们将该框架应用于Wuppertal-Budapest合作组近期通过高统计量格点QCD模拟得到的Lee-Yang零点估计值。在未将先前确定的小$μ_B$下交叉线展开式作为输入的情况下，重建得到的曲率与现有小$μ_B$下的连续统格点QCD结果一致。拟合得到的手征极限转变温度也与现有的手征标度分析结果相符。这些结果表明，关于Lee-Yang奇点的格点信息结合普适手征标度，可在当前温度窗口内对QCD交叉线给出定量一致的约束，并构建了一个可通过未来Lee-Yang零点测定结果系统改进的框架。
英文摘要
We propose a universality-based reconstruction of the QCD chiral crossover line from Lee-Yang edge singularities in the complex baryon chemical potential plane. The framework maps lattice-extracted complex Lee-Yang-zero estimates, treated as proxies for edge singularities, to the universal chiral Lee-Yang edge and thereby determines the $μ_B$ dependence of both the chiral critical line in the light-quark chiral limit and the pseudo-critical crossover line at physical quark masses. As an illustration, we apply the framework to Lee-Yang-zero estimates recently obtained by the Wuppertal-Budapest collaboration from high-statistics lattice QCD simulations. Without imposing the previously determined small-$μ_B$ expansion of the crossover line as input, the reconstructed curvature is consistent with existing continuum lattice-QCD results at small $μ_B$. The fitted chiral-limit transition temperature is also compatible with existing chiral-scaling analyses. These results demonstrate that lattice information on Lee-Yang singularities, combined with universal chiral scaling, provides a quantitatively consistent constraint on the QCD crossover line within the present temperature window and establishes a framework that can be systematically improved with future Lee-Yang-zero determinations.
Comments10 pages, 2 figures
