论文标题
Wilson-Line运营商在辅助场方法中的晶格上的改进，概括和方案转换
Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
论文作者
论文摘要
通过链接路径连接的非局部夸克双线性操作员用于研究Parton分布功能（PDFS）和使用晶格QCD的HADRON的横向动量依赖性PDF。非局部性使得使用标准方法很难理解这些操作员的重新归一化和改进。在以前的工作中，我们表明，通过在晶格上引入一个辅助领域，人们可以理解一个轴上威尔逊线操作员是扩展理论中两个本地运营商的产物。在本文中，我们提供了有关从晶格适合重新规范化方案转换为MS-BAR方案的扰动理论中计算的详细信息。扩展我们的工作，我们研究了Symanzik对扩展理论的改进，以了解晶格间距线性的离散效应模式，即$ a $，即使晶格费米昂完全保留了手性对称性。这为最终的$ o（a）$改进了PDF的晶格计算提供了前景。我们还将我们的方法推广到沿晶格对角线的威尔逊线和分段链路路径的方法。
Nonlocal quark bilinear operators connected by link paths are used for studying parton distribution functions (PDFs) and transverse momentum-dependent PDFs of hadrons using lattice QCD. The nonlocality makes it difficult to understand the renormalization and improvement of these operators using standard methods. In previous work, we showed that by introducing an auxiliary field on the lattice, one can understand an on-axis Wilson-line operator as the product of two local operators in an extended theory. In this paper, we provide details about the calculation in perturbation theory of the factor for conversion from our lattice-suitable renormalization scheme to the MS-bar scheme. Extending our work, we study Symanzik improvement of the extended theory to understand the pattern of discretization effects linear in the lattice spacing, $a$, which are present even if the lattice fermion action exactly preserves chiral symmetry. This provides a prospect for an eventual $O(a)$ improvement of lattice calculations of PDFs. We also generalize our approach to apply to Wilson lines along lattice diagonals and to piecewise-straight link paths.
