论文标题
晶格正则化中准PDF的RI/MOM重新归一化
RI/MOM renormalization of the quasi-PDF in lattice regularization
论文作者
论文摘要
我们使用13个晶格间距范围为0.032 fm至0.121 fm，分析了与Wilson Link（Quasi-PDF操作员）的Quark双线操作员（Quasi-PDF运算符）的Pion非极化基质元件的晶格间距依赖性。我们比较了三个合作的动态仪表合奏中有或没有良好手性对称性的三种不同的费米昂动作的结果。这项调查是由于仪表链路产生$ 1/a $ divergence的事实，而取消在许多比率上可能很棘手。确实，我们的结果表明，这种取消的晶格间距降低，RI/MOM方法为准PDF留下线性分歧的残基。我们还表明，在Landau仪表中，威尔逊链接与外部状态之间的相互作用导致线性分歧取决于离散的费米昂动作。
We analyze the lattice spacing dependence for the pion unpolarized matrix element of a quark bilinear operator with Wilson link (quasi-PDF operator) in the rest frame, using 13 lattice spacings ranging from 0.032 fm to 0.121 fm. We compare results for three different fermion actions with or without good chiral symmetry on dynamical gauge ensembles from three collaborations. This investigation is motivated by the fact that the gauge link generates an $1/a$ divergence, the cancelation of which in many ratios can be numerically tricky. Indeed, our results show that this cancelation deteriorates with decreasing lattice spacing, and that the RI/MOM method leaves a linearly divergent residue for quasi-PDFs. We also show that in the Landau gauge the interaction between the Wilson link and the external state results in a linear divergence which depends on the discretized fermion action.
