标题： 退火格点QCD中夸克质量步长缩放函数的连续统极限 显示英文标题

标题： The continuum limit of the quark mass step scaling function in quenched lattice QCD

摘要： 夸克质量的重整化群运行是在一个广泛的尺度范围内通过计算在无味格点QCD的薛定谔函数形式中的步长缩放函数来非微扰地确定的，同时使用了O(a)改进和未改进的情况。 对威尔逊和改良的Clover作用量进行了大量格点分辨率的单环微扰计算，以计算离散化效应。 非微扰计算给出了与规范无关的连续体结果，从而提供了连续体极限唯一性的有力证据。 作为副产品，获得了重整化群不变的夸克质量与在强子尺度上重整化的夸克质量的比值，精度非常高。 显示英文摘要

摘要： The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without O(a) improvement. A one-loop perturbative calculation of the discretisation effects has been carried out for both the Wilson and the Clover-improved actions and for a large number of lattice resolutions. The non-perturbative computation yields continuum results which are regularisation independent, thus providing convincing evidence for the uniqueness of the continuum limit. As a byproduct, the ratio of the renormalisation group invariant quark mass to the quark mass, renormalised at a hadronic scale, is obtained with very high accuracy.