Scattering Amplitudes and Correlation Functions

散射幅度和相关函数

基本信息

批准号：
2207138
负责人：
Andrei Belitsky
金额：
$ 22.5万
依托单位：
Arizona State University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2022
资助国家：
美国
起止时间：
2022-08-15 至 2025-07-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2207138&HistoricalAwards=false
关键词：
Scattering Amplitudes Correlation Functions

项目摘要

This award funds the research activities of Professor Andrei Belitsky at Arizona State University.The observable Universe is composed of atoms. Atoms, in turn, are formed by nuclei surrounded by clouds of electrons. Protons and neutrons are bound together to form these nuclei. Zooming further into the protons and neutrons, one encounters quarks and their antiparticles (antiquarks), which are the most fundamental components of matter. The quarks and antiquarks are attracted to each other by the Strong Force. This force is so strong that it is impossible to see individual quarks --- they are always bound together in various configurations. If one tries to pull them apart, the energy expended to do this is immediately converted into the creation of new quark-antiquark pairs from empty space, and those new particles in turn bind to the particles that one was attempting to isolate. A theory underlying these phenomena --- namely Quantum Chromodynamics (QCD) --- has been known since 1974. However, up to now no one has succeeded in solving this theory, and this is not due to a lack of effort. Uncovering the inner workings of the Strong Force will be of paramount importance for understanding the fundamental laws of physics, and is therefore in the national interest because it fosters the development of fundamental science in the United States. As part of this project, Professor Belitsky plans to develop theoretical methods for alleviating the complications one faces in understanding strongly interacting particles such as quarks. He is also engaged in advising and mentoring students at the graduate and undergraduate levels who will make valuable contributions to the project. Moreover, Professor Belitsky delivers popular presentations and also mentors and guides middle- and high-school students, thereby increasing the public awareness of particle physics.On a more technical level, Professor Belitsky will work on a promising paradigm to reformulate the theory of the strong force (QCD) as an effective theory of extended degrees of freedom. Over the past two decades, the field witnessed an explicit implementation of these ideas through the gauge/string correspondence for supersymmetric cousins of QCD. The Principal Investigator will develop and generalize tools for analyses of two types of observables in these models: spacetime S-matrices and correlators of gauge-invariant operators. The main approach is based on their geometrization and use of integrable dynamics of the resulting two-dimensional worldsheet. An explicit implementation includes a tessellation of emerging string worldsheets in terms of overlapping transitions which are then bootstrapped to all orders in coupling. Along these lines, the PI will also pursue a form-factor program for off-shell scattering amplitudes and the properties of its integrable dynamics.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项资助亚利桑那州立大学安德烈·别利茨基教授的研究活动。可观测的宇宙是由原子组成的。原子又是由电子云包围的原子核形成的。质子和中子结合在一起形成这些原子核。进一步放大质子和中子，我们会遇到夸克及其反粒子（反夸克），它们是物质最基本的组成部分。夸克和反夸克通过强力相互吸引。这种力是如此强大，以至于不可能看到单个夸克——它们总是以各种配置结合在一起。如果有人试图将它们拉开，那么所消耗的能量会立即转化为从真空中产生新的夸克-反夸克对，而这些新粒子又会与人们试图分离的粒子结合在一起。这些现象背后的理论——量子色动力学（QCD）——自 1974 年以来就为人所知。然而，到目前为止，还没有人成功地解决了这一理论，这并不是因为缺乏努力。揭示强力的内部运作对于理解物理的基本定律至关重要，因此符合国家利益，因为它促进了美国基础科学的发展。作为该项目的一部分，别利茨基教授计划开发理论方法，以减轻人们在理解夸克等强相互作用粒子时所面临的复杂性。他还为研究生和本科生提供建议和指导，他们将为该项目做出宝贵的贡献。此外，别利茨基教授还进行了广受欢迎的演讲，并对中学生和高中生进行指导和指导，从而提高了公众对粒子物理的认识。在更技术的层面上，别利茨基教授将致力于一个有前景的范式，以重新阐述强粒子物理理论。力（QCD）作为扩展自由度的有效理论。在过去的二十年里，该领域见证了这些想法通过 QCD 超对称表兄弟的规范/弦对应的明确实现。首席研究员将开发并推广用于分析这些模型中两类可观测量的工具：时空 S 矩阵和规范不变算子的相关器。主要方法是基于它们的几何化和所得到的二维世界表的可积动力学的使用。显式实现包括根据重叠转换对新兴字符串世界表进行镶嵌，然后将其引导到耦合中的所有顺序。沿着这些思路，PI 还将追求离壳散射振幅及其可积动力学特性的形状因数计划。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力优点和更广泛的评估进行评估，被认为值得支持。影响审查标准。