报告题目：Bions and Kinks in Quantum Field Theory II

主 讲 人：张柏阳

单 位：美国明尼苏达大学

时 间：9月13日10:00

地 点：数学与统计学院二楼会议室

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.

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。