论文标题
QCD交叉的通用驱动分析结构：收敛半径和QCD临界点
Universality driven analytic structure of QCD crossover: radius of convergence and QCD critical point
论文作者
论文摘要
最近的晶格QCD计算表明，在零巴属化学势（$μ_b$）时QCD的交叉迹象是二阶手性相变的残余。通过晶格QCD计算确定了将温度$ t $ $ t $和$μ_b$映射到二阶手性相变的通用性能所需的非全球参数。首先，在这些进步的动机下，我们仅基于通用性能，讨论了分区函数的分析结构 - 所谓的Yang-Lee边缘奇异性。然后，通过使用计算的非大学参数计算的晶格，我们将此奇异性映射到真实的$ t $和复杂的$μ_b$平面，以便在QCD交叉方面找到QCD分区功能的Taylor系列扩展功能的收敛半径。我们最重要的发现是：（i）基于普遍性的收敛半径估计，左右$μ_b= 0 $; （ii）基于$ t-μb$平面中QCD临界点位置位置的普遍性和晶格QCD的约束。
Recent lattice QCD calculations show strong indications that the crossover of QCD at zero baryon chemical potential ($μ_B$) is a remnant of the second order chiral phase transition. The non-universal parameters needed to map temperature $T$ and $μ_B$ to the universal properties of the second order chiral phase transition were determined by lattice QCD calculations. Motivated by these advances, first, we discuss the analytic structure of the partition function -- the so-called Yang-Lee edge singularity -- in the QCD crossover regime, solely based on universal properties. Then, utilizing the lattice calculated non-universal parameters, we map this singularity to the real $T$ and complex $μ_B$ plane, in order to find the radius of convergence for a Taylor series expansion of QCD partition function around $μ_B=0$ in the QCD crossover regime. Our most important findings are: (i) An universality-based estimate of the radius of convergence around $μ_B=0$; (ii) Universality and lattice QCD based constraints on the location of the QCD critical point in the $T-μ_B$ plane.
