Topics in Strong Force

了解核子的内部结构--质子和中子，这是我们最熟悉的物质的组成部分--是核物理学的基本挑战之一。这个项目将对量子色动力学(QCD)有新的理解，QCD理论描述了组成核子的夸克和胶子之间的强大作用力。PI将应用理论方法建立现象学模型，用于理解托马斯·杰斐逊国家加速器设备(JLab)从专注于测量核子性质的实验中获得的实验数据。最近在JLab进行的12GeV升级将使科学家能够以前所未有的精度研究QCD的性质。教育部分是该项目的一个重要方面。对研究生和本科生的培训和指导将使初级研究人员为未来在工业或学术界的职业生涯做好准备。国际和平研究所的外展活动将通过科普演讲以及对高中生的指导和指导来提高公众对核粒子物理学的认识。该项目的两个研究领域与强力物理学有关，并基于对夸克禁闭问题的现象学和理论方法，该问题具有广泛的定义。该项目的第一个重点是了解对准概率分布敏感的过程的更高扭度/阶次修正，即广义部分子分布(GPD)，这将是适当分析实验数据所必不可少的。PI和他的学生将开发一种分离技术，通过提供光子电产生截面不同截面的方位力矩的解析公式，将GPD从数据中分离出来。第二个推力是围绕最大超对称杨-米尔斯理论展开的，该理论具有杨-米尔斯理论中谐振子的地位，是解决强耦合QCD问题的核心。在这两种理论中，规范散射幅度具有非常相似的微扰展开式，理解规范散射幅度是目前规范动力学分析方法的重点。在建立一种允许以非微扰方式处理散射幅度的形式主义中，关键的一步是根据零多边形等高线上的威尔逊环对它们的双重描述，这些零多边形轮廓是服从于分析技术的。

Understanding the internal structure of nucleons -- protons and neutrons, the building blocks of matter that is most familiar to us -- is one of the fundamental challenges in nuclear physics. This project will contribute new understanding to Quantum Chromodynamics (QCD), the theory describing the strong force between the quarks and gluons making up the nucleon. The PI will apply theoretical methods to build phenomenological models used to understand experimental data obtained at the Thomas Jefferson National Accelerator Facility (JLab) from experiments focused on measurements of nucleon properties. The recent 12 GeV upgrade at JLab will allow scientists to study the properties of QCD with an unprecedented level of precision. The educational component represents an important aspect of this project. The training and mentoring of graduate and undergraduate students will prepare junior researchers for future careers in industry or academia. The PI's outreach activities will increase public awareness of nuclear-particle physics through popular science presentations, as well as by mentoring and guidance of high school students.The two research areas of this project are related to the physics of the strong force and are based on phenomenological and theoretical approaches to the problem of quark confinement, broadly defined. The first thrust of the project is focused on understanding of higher twist/order corrections to processes sensitive to quasiprobability distributions, known as Generalized Parton Distributions (GPDs), and will be indispensable for proper analysis of experimental data. The PI and his students will develop a separation technique to disentangle GPDs from data by providing analytical formulas for azimuthal moments of differential cross sections of photon electroproduction cross sections. The second thrust is centered around maximally supersymmetric Yang-Mills theory, which took on the status of the harmonic oscillator of Yang-Mills theories and is central in attempts to solving QCD at strong coupling. Understanding gauge scattering amplitudes, which possess very similar perturbative expansions in the two theories, is the focus of the currently pursued analytical approach to gauge dynamics. A crucial step in establishing a formalism that allows one to address scattering amplitudes nonperturbatively is their dual description in terms of Wilson loops on null polygonal contours that are amenable to analytical techniques.