论文标题
使用梯度流对有限尺寸缩放研究中系统效应的分析
An analysis of systematic effects in finite size scaling studies using the gradient flow
论文作者
论文摘要
我们提出了一种新的策略，以确定使用梯度流量的有限尺寸缩放研究中的阶梯缩放函数$σ（u）$。在这种方法中，$σ（u）$的确定分为两部分：在固定物理大小时的流动时间变化，以及在固定流动时间时更改系统的大小。使用纯仪表理论中的扰动参数和一组模拟，我们表明这种方法可以更好地控制连续性外推。按照这一新提案，我们确定纯仪表理论中高能量的运行耦合，并重新检查$λ$参数的确定，并在扰动截断的不确定性上特别谨慎。
We propose a new strategy for the determination of the step scaling function $σ(u)$ in finite size scaling studies using the Gradient Flow. In this approach the determination of $σ(u)$ is broken in two pieces: a change of the flow time at fixed physical size, and a change of the size of the system at fixed flow time. Using both perturbative arguments and a set of simulations in the pure gauge theory we show that this approach leads to a better control over the continuum extrapolations. Following this new proposal we determine the running coupling at high energies in the pure gauge theory and re-examine the determination of the $Λ$-parameter, with special care on the perturbative truncation uncertainties.
