格点上Staple-shaped Wilson线算子的重正化与混合
Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
摘要：
横向动量相关的部分子分布函数和波函数（TMDPDF/TMDWF）可以从钉书钉形Wilson线算符的适当的欧几里得矩阵元的晶格计算中提取。我们调查的混合模式下使用对称性的考虑晶格重整化。我们进行了所有狄拉克结构的运营商的分析，这揭示了混合，不存在于单圈晶格微扰理论计算。我们还提出了相关的一个循环匹配的重整化方案，不引入额外的非微扰效应在大的距离，无论是TMDPDF和TMDWFs。我们的结果有可能大大方便数值计算的TMDPDF和TMDWF的晶格。
英文摘要：
Transverse-momentum-dependent parton distribution functions and wave functions (TMDPDFs/TMDWFs) can be extracted from lattice calculations of appropriate Euclidean matrix elements of staple-shaped Wilson line operators. We investigate the mixing pattern of such operators under lattice renormalization using symmetry considerations. We perform an analysis for operators with all Dirac structures, which reveals mixings that are not present in one-loop lattice perturbation theory calculations. We also present the relevant one-loop matching in a renormalization scheme that does not introduce extra non-perturbative effects at large distances, both for the TMDPDFs and for the TMDWFs. Our results have the potential to greatly facilitate numerical calculations of TMDPDFs and TMDWFs on the lattice.
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