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将首先回顾在重正问题和强耦合动力学的背景下应用于2d qft的复活分析的一些文献。从这里鲁道夫将转移到WZW 2d模型中使用可积性的精确配分函数的研究。一旦这些观测量将被计算，我们将执行弱耦合展开，并获得完整的transseries。由于这些模型将有一个边际变形，我们将分析当我们调整这个变形时，Borel平面中的奇点会发生什么，这将为我们提供关于如何使用复苏理论来推断IR性质，特别是强耦合动力学或缺乏IR性质的有用信息。