Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
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DOI：
10.1103/physrevd.101.074505
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发表时间：
2019-11
影响因子：
5
通讯作者：
P. Shanahan;M. Wagman;Yong Zhao
中科院分区：
文献类型：
--
作者：
P. Shanahan;M. Wagman;Yong Zhao
利用具有订书钉形状威尔逊线的夸克双线性算符，从晶格量子色动力学(QCD)出发研究了横向动量相关的部分子分布函数(TMDPDF)。本文首次在正则化无关的动量减法中非微扰地计算了等向量算符的重整化因子，包括具有不同Dirac结构的算符之间的所有混合。这项研究是在三种不同晶格间距的猝灭QCD中进行的。在计算中，将威尔逊流应用到规范场中，发现由于手征对称性破缺和晶格正则化导致的算符混合模式与单圈晶格微扰理论计算的结果有很大的不同。这些结果构成了从晶格QCD中系统提取TMDPDF的关键一步。
Quark bilinear operators with staple-shaped Wilson lines are used to study transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice quantum chromodynamics (QCD). Here, the renormalization factors for the isovector operators, including all mixings between operators with different Dirac structures, are computed nonperturbatively in the regularization-independent momentum subtraction scheme for the first time. This study is undertaken in quenched QCD with three different lattice spacings. With Wilson flow applied to the gauge fields in the calculations, the operator mixing pattern due to chiral symmetry breaking with the lattice regularization is found to be significantly different from that predicted by one-loop lattice perturbation theory calculations. These results constitute a critical step towards the systematic extraction of TMDPDFs from lattice QCD.