Nonperturbative methods in quantum field theory

点击翻译按钮获取中文摘要

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.