Resurgence and strong-coupling dynamics in Quantum Field theory

量子场论中的复兴和强耦合动力学

• 批准号: 2419846
• 金额: --
• 依托单位: Durham University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2419846
• 关键词: Resurgence; strong; coupling; dynamics; Quantum

Rudolfs will start by reviewing some of the literature on resurgent analysis applied to 2d qft in the context of the renormalons problem and strong-coupling dynamics. From here Rudolfs will move to the study of exact partition functions in WZW 2d models using integrability. Once these observables will be computed we will be performing a weak-coupling expansion and obtain the complete transseries. Since these models will have a marginal deformation we will analyse what happens to the singularities in the Borel plane as we tune this deformation, this will give us useful information on how to use resurgence theory to infer IR properties and in particular strong-coupling dynamics or lack thereof.

Rudolfs 将首先回顾一些关于在重整子问题和强耦合动力学背景下应用于二维 qft 的复兴分析的文献。从这里开始，Rudolfs 将利用可积性研究 WZW 二维模型中的精确配分函数。一旦计算出这些可观测值，我们将执行弱耦合展开并获得完整的跨序列。由于这些模型将具有边际变形，因此我们将分析在调整此变形时 Borel 平面中的奇点会发生什么，这将为我们提供有关如何使用复兴理论来推断红外属性的有用信息，特别是强耦合动力学或缺乏。