论文标题
晶格上横向摩托明依赖性的Parton分布的重新归一化
Renormalization of transverse-momentum-dependent parton distribution on the lattice
论文作者
论文摘要
要计算Lattice QCD的横向摩肌依赖性Parton分布函数（TMDPDFS），这是一个尚未实现的重要目标，至关重要的是，在相应的Euclidean Quasi-TMDPDF Corlelators中，建立一种可行的非扰动重r驱动方法，以实现可行的非扰动重态化方法。我们通过计算5个晶格间距的Pion状态下的相关矩阵元素来对准TMDPDF进行重新归一化特性进行首次系统研究，范围为0.03 fm至0.12 fm。我们证明，威尔逊环的平方根与短距离的黑啤酒矩阵元件相结合，提供了一种成功的方法，可以消除准TMD运算符的所有紫外线差异，从而提供必要的理由来执行TMDPDFS的连续限制计算。相比之下，流行的RI/MOM重归其化方案无法消除所有线性差异。
To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable non-perturbative renormalization approach for linear divergences in the corresponding Euclidean quasi-TMDPDF correlators in large-momentum effective theory. We perform a first systematic study of the renormalization property of the quasi-TMDPDFs by calculating the relevant matrix elements in a pion state at 5 lattice spacings ranging from 0.03 fm to 0.12 fm. We demonstrate that the square root of the Wilson loop combined with the short distance hadron matrix element provides a successful method to remove all ultraviolet divergences of the quasi-TMD operator, and thus provide the necessary justification to perform a continuum limit calculation of TMDPDFs. In contrast, the popular RI/MOM renormalization scheme fails to eliminate all linear divergences.
