Field theory for hydrodynamics and strong gauge theory dynamics

流体动力学场论和强规范理论动力学

• 批准号: 261575-2011
• 负责人: Moore, Guy
• 金额: $ 6.56万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=571086
• 关键词: Field; theory; hydrodynamics; strong; gauge

Quantum Chromodynamics (QCD) is our theory of the strong interactions which hold together the atomic nucleus. Our standard theoretical tool for making predictions in QCD, perturbation theory, fails when trying to study the dynamics of ultra-high temperature systems, like what existed in the early Universe and what we can now create in the lab via high energy heavy ion collisions. I will study ways to make theoretical predictions which improve on perturbation theory. One avenue of attack will be a way to improve perturbation theory called "resummation." Specifically I will study the 3-loop, 3-particle irreducible resummation of nonabelian gauge theories (such as QCD). As a warmup I will first study the theory in 3 dimensions, where the resummation method can be systematically tested; if it works I will attempt to apply it in the physical 3 space + 1 time dimensions. In addition, I will investigate the systematics of another approach which avoids the need for perturbation theory altogether -- relativistic hydrodynamics. Hydrodynamic studies have shown that the Quark-Gluon Plasma created by heavy ion collisions is the "most perfect" fluid known, in the sense of having the lowest viscosity when measured in appropriate units. I want to help quantify that and to figure out exactly how self-consistent and reliable the hydrodynamic treatment is. My work will have applications in the description of matter under extreme conditions, both in the laboratory and in the very early Universe.

量子色动力学（QCD）是我们的强相互作用理论 将原子核结合在一起。 我们在QCD中进行预测的标准理论工具，微扰论，在试图研究超高温系统的动力学时失败了，比如早期宇宙中存在的东西，以及我们现在可以通过高能重离子碰撞在实验室中创造的东西。 我将研究如何作出理论预测，以改进微扰理论。 其中一个攻击途径是改进微扰理论的方法，称为“再确认”。“具体来说，我将研究非阿贝尔规范理论（如QCD）的3圈3粒子不可约重约。 作为热身，我会 首先在三维空间中研究理论，在三维空间中可以系统地测试重新模拟方法;如果它有效，我将尝试将其应用于物理的3个空间+1个时间维度。 此外，我将研究另一种方法的系统学，它完全避免了对微扰理论的需要-相对论流体力学。 流体动力学研究表明，重离子碰撞产生的夸克-胶子等离子体是已知的“最完美”的流体，在适当的单位测量时具有最低的粘度。 我想帮助量化这一点，并准确地计算出流体动力学处理的自洽性和可靠性。 我的工作将应用于极端条件下的物质描述，无论是在实验室还是在非常早期的宇宙中。