Nonperturbative methods in quantum field theory

量子场论中的非微扰方法

• 批准号: 2567200
• 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: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2567200
• 关键词: Nonperturbative; methods; quantum; field; theory

Recently, there have been important developments in the mathematical methods used to tackle the nonperturbative aspects of quantum field theories. Topics such as higher-form symmetries, generalized 't Hooft anomalies, higher-group structures, etc. are becoming indispensable tools to understand various structures of quantum field theories. The thesis will focus on using these techniques to analyze strongly-coupled gauge theories. The analysis will include the study of vacuum structure, extended objects (e.g., domain walls and string), composites, and condensates in strongly-coupled theories.

最近，用于处理量子场论的非摄动方面的数学方法有了重要的发展。诸如高形式对称、广义t - Hooft异常、高群结构等主题正在成为理解量子场论各种结构的不可或缺的工具。本文将着重于使用这些技术来分析强耦合规范理论。分析将包括真空结构、扩展对象（例如，畴壁和弦）、复合材料和强耦合理论中的凝聚物的研究。