Resurgence and strong-coupling dynamics in Quantum Field theory

鲁道夫将首先回顾一些在重整子问题和强耦合动力学的背景下应用于2d量子傅立叶变换的复兴分析的文献。从这里，Rudolf将转到使用可积性研究WZW 2D模型中的精确配分函数。一旦这些可观测数据被计算出来，我们将执行弱耦合展开，并得到完整的跨系列。由于这些模型将有一个边缘形变，我们将分析当我们调整这种形变时Borel平面上的奇点发生了什么，这将为我们提供关于如何使用重现理论来推断IR性质，特别是强耦合动力学或其缺乏的有用信息。

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.