用于格点量子色动力学的 RI/SMOM 重整化:双线性和三夸克算符
RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
AI总结:
该研究回顾格点量子色动力学中 RI/SMOM 与 MS 方案在对称减法点的微扰匹配,总结双线性算符三圈转换因子及三夸克算符相关匹配,包括 N = 0 重子算符两圈匹配、三圈反常维数等,有助于重子分布振幅的格点研究。
AI中文摘要:
我们回顾了在对称减法点处正则化不变对称 MOM(RI/SMOM)和 MS 方案之间的微扰匹配,这与格点量子色动力学模拟相关。对于双线性算符,总结了局部夸克流以及结构函数 n = 2,3 扭转 - 二矩的三圈转换因子。对于三夸克算符,总结了 N = 0 重子算符的两圈 RI/SMOM 匹配、三圈反常维数以及 N = 1 梅林矩的两圈匹配,有助于改进重子分布振幅的格点研究。所有数值结果均在朗道规范下给出。
英文摘要:
We review perturbative matching between the regularization-invariant symmetric MOM (RI/SMOM) and MS schemes at the symmetric subtraction point, which is relevant for lattice QCD simulations. For bilinear operators we summarize three-loop conversion factors for local quark currents and for the n=2,3 twist-two moments of structure functions. For three-quark operators we summarize two-loop RI/SMOM matching for N=0 baryonic operators and three-loop anomalous dimensions together with two-loop matching for the N=1 Mellin moment, enabling improved lattice studies of baryon distribution amplitudes. All numerical results quoted here are given in Landau gauge.