Transverse Momentum Dependent Distributions from Lattice QCD

QCD描述了强子（如质子）的量子力学夸克-胶子结构。如果想要解释，例如，质子-质子碰撞在大型强子对撞机（欧洲核子研究中心），但也因为QCD允许研究非阿贝尔局部规范理论的复杂性质的全部广度。起初，研究集中在共线物理和简单的概率分布。同时，研究的重点是对相位相关性敏感的函数。在这些横向动量依赖部分子分布函数（TMDPDF或简称TMD）中，特别有趣。预计在美国的新的电子离子对撞机（EIC）将允许研究这些前所未有的细节。然而，实验上可获得的信息将不足以确定所有的TMD。（对于每种夸克味，核子有八种不同的TMD，每种TMD都是比约肯x和横动量的函数，此外还有胶子TMD。）因此，实验信息必须得到格点QCD信息的补充。我们希望继续这样做。几年前，我们是第一个制定所需技术并进行数值研究的公司，今天，我们与该领域的领先团队合作。此外，我们还计划计算味分离夸克轨道角动量及其与标度的关系。

QCD describes the quantum mechanical quark-gluon structure of hadrons like the proton. Knowledge of this structure is important as background information if one wants to interpret, e.g., proton-proton collisions at LHC (CERN), but also because QCD allows to study the full breadth of complex properties of non-Abelean local gauge theories. In the beginning, research focused on collinear physics and simple probability distributions. Meanwhile, research focuses on functions which are sensitive to phase correlations. Among these Transverse Momentum Dependent parton distribution functions (TMDPDFs or simply TMDs) are especially interesting. The projected new electron-ion collider (EIC) in the US will allow to study these in unprecedented detail. However, the experimentally accessable information will be insufficient to pin all TMDs down. (A nucleon has eight different TMDs for each quark flavor and each is a function of Bjorken x and transverse momentum, and in addition there are gluon TMDs.) Therefore, the experimental information must be supplemented by Lattice QCD information. This we want continue to do. A few years ago we were the first to formulate the needed techniques and perform numerical studies and today we collaborate with the leading groups in this field. In addition we plan to calculate the flavour separated quark orbital angular momentum and its scale dependence.