Title: The topological susceptibility and excess kurtosis in SU(3) Yang-Mills theory Show Chinese title

Title: 拓扑易感性和SU(3)杨-米尔斯理论中的超额峰度

Abstract: We determine the topological susceptibility and the excess kurtosis of $SU(3)$ pure gauge theory in four space-time dimensions. The result is based on high-statistics studies at seven lattice spacings and in seven physical volumes, allowing for a controlled continuum and infinite volume extrapolation. We use a gluonic topological charge measurement, with gradient flow smoothing in the operator. Two complementary smoothing strategies are used (one keeps the flow time fixed in lattice units, one in physical units). Our data support a recent claim that both strategies yield a universal continuum limit; we find $\chi_\mathrm{top}^{1/4}r_0=0.4769(14)(11)$ or $\chi_\mathrm{top}^{1/4}=197.8(0.7)(2.7)\,\mathrm{MeV}$. Show Chinese abstract

Abstract: 我们确定了四维时空中$SU(3)$纯规范理论的拓扑易变性和超额峰度。 结果基于在七个格点间距和七个物理体积下的高统计量研究，允许进行受控的连续极限和无限体积外推。 我们使用了胶子拓扑电荷测量，并在算符中使用了梯度流平滑。 使用了两种互补的平滑策略（一种在格点单位中保持流时间固定，另一种在物理单位中保持流时间固定）。 我们的数据支持最近的一项声明，即这两种策略都产生一个普适的连续极限；我们发现$\chi_\mathrm{top}^{1/4}r_0=0.4769(14)(11)$或$\chi_\mathrm{top}^{1/4}=197.8(0.7)(2.7)\,\mathrm{MeV}$。