Lattice Field Theory and Hadronic Physics

量子色动力学（QCD）是夸克和胶子之间强相互作用的理论，它们构成强子，如质子和中子。这个项目将支持理论和计算工作来研究这种基本力在低温下的性质，在低温下，夸克和胶子结合成强子，在高温下，夸克和胶子每周相互作用并形成夸克-胶子等离子体。一名博士后将在项目负责人的指导下完成该提案的几个方面。数值计算将使用高性能计算系统，作为该项目的一部分获得的结果将在核物理和粒子物理的国际会议上发表。QCD属于一类（类QCD）理论，表现出从低温或密度下的约束（强子物质）到高温或密度下的渐近自由（夸克物质）的过渡。这个项目将通过在有限的物理体积下使用一个新的全局可观测值来研究qcd类理论的基本特征。该项目还将通过探索某些强子物质的特性来研究约束，这些强子物质被称为混合/外来介子，这是类量子cd理论所独有的。此外，本研究将讨论相关的主题，如四夸克的存在。在有限密度下，类量子cd理论的大正则系综将被改写为正则系综的和来研究二维量子cd。所得的经验教训将用于探索在有限密度下研究四维QCD的可行性。

Quantum Chromodynamics (QCD) is the theory of strong interactions between quarks and gluons that make up hadrons, such as protons and neutrons. This project will support theoretical and computational work to study the properties of this fundamental force at low temperatures, where quarks and gluons are bound together into hadrons, and high temperatures, where quarks and gluons interact weekly and form a quark-gluon plasma. A post-doctoral fellow will be mentored by the PI to work on several aspects of the proposal. Numerical computations will use high-performance computing systems, and results obtained as part of this project will be presented at international conferences in nuclear and particle physics.QCD belongs to a class of (QCD-like) theories that exhibit a transition from confinement (hadronic matter) at low temperature or density to asymptotic freedom (quark matter) at high temperature or density. This project will study the fundamental features of QCD-like theories by studying them at finite physical volume using a new global observable. The project will also study confinement by exploring the properties of certain hadronic matter called hybrid/exotic mesons that are unique to QCD-like theories. In addition, this study will address related topics such as the existence of tetraquarks. The grand canonical ensemble for QCD-like theories at finite density will be rewritten as a sum over canonical ensembles to study two-dimensional QCD. The lessons learned there will be used to explore the feasibility for studying four-dimensional QCD at finite density.