由杨-米尔斯梯度流确定Wilson规范Action的参考标度
Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow
摘要：
本文给出了在~ $β$范围内SU（3）Yang-Mills理论的晶格间距（$a$）的裸耦合（$β$）参数化。杨-米尔斯梯度流相对于流动时间$t$的无量纲可观察，$t\frac{d}{dt}t^2\langle E(t)\rangle$，被用来确定参数化。对于精细的晶格间距（$6.3\leβ\le7.5$）和大的晶格体积（$N_{\rm s}=64$ - $128$），离散化和有限体积误差被显著地减小到与统计误差相同的水平。
英文摘要：
A parametrization of the lattice spacing ($a$) in terms of the bare coupling ($β$) for the SU(3) Yang--Mills theory with the Wilson gauge action is given in a wide range of~$β$. The Yang--Mills gradient flow with respect to the flow time~$t$ for the dimensionless observable, $t\frac{d}{dt}t^2\langle E(t)\rangle$, is utilized to determine the parametrization. With fine lattice spacings ($6.3\leβ\le7.5$) and large lattice volumes ($N_{\rm s}=64$--$128$), the discretization and finite-volume errors are significantly reduced to the same level as the statistical error.
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