论文标题
梯度流量尺度设置，并改进树水平
Gradient flow scale setting with tree-level improvement
论文作者
论文摘要
使用梯度流定义的晶格量表通常非常精确，同时也易于计算。但是，流量和操作员的不同定义可能会有很大差异，这表明可能的系统影响。使用RBC-UKQCD的2+1个风味域壁费和IWASAKI GAUGE ACTION共同组合，我们探索$ \ sqrt {t_0} $和$ W_0 $梯度流量尺度之间的差异，比较不同操作员的影响，并比较不同操作员的影响，以确定能量密度和使用Tree-eple frow的效果，并研究了树木的效果。我们发现，对于这组仪表场合集合，Zeuthen流动与Symanzik操作员具有对连续限制的最一致的方法，并且显示出非常小的截止校正。传统上用于逐步研究的树级改进大大降低了不同操作员之间的差异，但在降低梯度流量尺度$ \ sqrt {t_0} $或$ w_0 $的临界效果时，并不会带来总体改进。
Lattice scales defined using gradient flow are typically very precise, while also easy to calculate. However, different definitions of flows and operators can differ significantly, suggesting possible systematical effects. Using a subset of RBC-UKQCD's 2+1 flavor domain wall fermion and Iwasaki gauge action ensembles, we explore differences between $\sqrt{t_0}$ and $w_0$ gradient flow scales, compare the impact of different operators to define the energy density, and study the effect of using tree-level improvement for the gradient flow. We find that for this set of gauge field ensembles Zeuthen flow with Symanzik operators has the most consistent approach to the continuum limit and exhibit very small cutoff corrections. Tree-level improvement, traditionally used in step-scaling studies, significantly reduces the spread between different operators, but does not lead to an overall improvement when it comes to reducing cutoff effects for gradient flow scales $\sqrt{t_0}$ or $w_0$.
