标题： 格点上准光前沿关联函数的自归一化 显示英文标题

标题： Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

摘要： 在应用大动量有效理论时，由于Wilson线自能中的线性发散，晶格正则化中Euclidean相关函数的重整化成为一个挑战。基于晶格间距为\($a$= 0.03 \) fm $\sim$ 0.12 fm，在交错和域墙海上的clover和overlap价夸克上准PDF算符的晶格QCD矩阵元，我们设计了一种策略来区分发散的重整因子和有限的物理矩阵元，这些矩阵元可以在短距离下匹配到连续统方案，比如维数正规化和最小减除法。我们的结果显示，重整因子在强子状态矩阵元中是普适的。此外，物理矩阵元似乎与价费米子形式无关。即使使用HYP抹平以减少统计误差，但降低了重整化过程的控制能力，这些结论仍然成立。此外，我们在流行的RI/MOM和比值重整化方案中发现了一个大的非微扰效应，这表明支持最近提出的混合重整化程序。 显示英文摘要

摘要： In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the quasi-PDF operator at lattice spacing $a$= 0.03 fm $\sim$ 0.12 fm with clover and overlap valence quarks on staggered and domain-wall sea, we design a strategy to disentangle the divergent renormalization factors from finite physics matrix elements, which can be matched to a continuum scheme at short distance such as dimensional regularization and minimal subtraction. Our results indicate that the renormalization factors are universal in the hadron state matrix elements. Moreover, the physical matrix elements appear independent of the valence fermion formulations. These conclusions remain valid even with HYP smearing which reduces the statistical errors albeit reducing control of the renormalization procedure. Moreover, we find a large non-perturbative effect in the popular RI/MOM and ratio renormalization scheme, suggesting favor of the hybrid renormalization procedure proposed recently.