In this article, we review recent lattice calculations on the x-dependence of parton distributions, with the latter providing information on hadron structure. These calculations are based on matrix elements of boosted hadrons coupled to non-local operators and can be related to the standard, light-cone distribution functions via an appropriate factorization formalism. There is significant progress in several directions, including calculations of flavor-singlet parton distribution functions (PDFs), first calculations of generalized parton distributions (GPDs), as well as the implementation of some of the approaches for the transverse-momentum-dependent PDFs (TMD PDFs). This new direction of lattice calculations is particularly interesting for phenomenological fits on experimental data sets, as the lattice results can help improve the constraints on the distribution functions.

在本文中，我们回顾了最近关于部分子分布的x相关性的晶格计算，后者提供了有关强子结构的信息。这些计算基于与非局部算子耦合的增强强子的矩阵元素，并且可以通过适当的因式分解形式与标准的光锥分布函数相关。在几个方向上取得了重大进展，包括味道单重部分子分布函数（PDF）的计算、广义部分子分布（GPD）的首次计算，以及横向动量相关 PDF 的一些方法的实现（ TMD PDF）。晶格计算的这种新方向对于实验数据集的现象学拟合特别有趣，因为晶格结果可以帮助改善对分布函数的约束。