Title: Non-perturbative renormalization of the static axial current in quenched QCD Show Chinese title

Title: 非微扰重整化静态轴矢流在冻结QCD中

Abstract: We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the O(a) improved theory as well as in the original Wilson regularization is thus connected to the renormalization group invariant one. The latter may then be related to the current at the B-scale defined such that its matrix elements differ from the physical (QCD) ones by O(1/M). At present, a (probably small) perturbative uncertainty enters in this step. As an application, we renormalize existing unimproved data on F_B^{bare} and extrapolate to the continuum limit. We also study an interesting function h(d/L,u) derived from the Schroedinger functional amplitude describing the propagation of a static quark-antiquark pair. Show Chinese abstract

Abstract: 我们用递归有限尺寸标度技术非微扰地计算了静轴向流在薛定谔函数格式中的尺度依赖性，并在每一步都取了连续极限。 O(a) 改进理论中的裸流以及原始威尔逊正则化中的裸流由此与重整群不变流联系起来。 后者然后可以与定义为 B 标度的流相关联，其矩阵元与物理（QCD）矩阵元相差 O(1/M)。 目前，在这个步骤中存在一个（可能很小的）微扰不确定性。 作为一个应用，我们重新归一化了现有的未改进的 F_B^{裸露的}数据并外推到连续极限。 我们还研究了一个有趣的函数 h(d/L,u)，它由描述静态夸克-反夸克对传播的薛定谔函数振幅导出。