报告题目:Bions and Kinks in Quantum Field Theory
主 讲 人:张柏阳
单 位:美国明尼苏达大学
时 间:6月27日10:00
ZOOM ID:210-089-8623
密 码:123456
主办单位:数学与统计学院
欢迎光临!
摘 要:In this talk I show the non-perturbative role played by monopoles and kinks in various quantum field theoretic models. First we introduce the SU(N) Yang-Mills theory defined on a thin cylinder with light adjoint fermions, we show that monopoles and their molecular states are responsible for the center symmetry breaking phase transition. In the large-N limit, the long-range 3D effective theory can be regarded as a bosonic field theory in 4D with an emergent spatial dimension. Next we discuss the kink mass correction in the 2D phi-fourth model from a categorical point of view. We show that the quantization can be regarded as functors with different backgrounds in path-integral, i.e., one functor for each sector. We will introduce a systematic method to unite kink and vacuum sectors by constructing a natural transformation between quantization functors.
专家简介:张柏阳,2018年获中国科学院近代物理研究所博士学位,现为明尼苏达大学博士后。研究方向主要为量子场论中的非微扰性质,包括量子场论在不同时空流形上的拓扑结构,monopole-instanton在色禁闭中的作用等。