Conformality loss and short-range crossover in long-range conformal field theories

by Prof. Zhijin Li (Southeast University)

Thursday 10 Oct 2024, 15:10 → 16:10 Asia/Shanghai

S408

In this talk, I will introduce our recent work on the conformality loss of theories with long-range interactions. This study is based on a solvable example: the O(2) × O(N) multiscalar model with coupling r−d−δ in d = 4 − ε dimension. We compute the critical exponents of the long-range fixed points (LRFPs) to three loops. The phase diagram of the model is dominated by two processes: the short-range crossover and merger-annihilation of LRFPs. The two processes intersect at the lower edge of the conformal window, below which the LRFPs disappear into the complex plane. We propose a novel scenario for the short-range crossover of complex LRFPs, in which the short-range crossover occurs on a vertical line in the complex plane of δ. The complex marginal operator generates renormalization group flow on the transition line and significantly enriches the short-range crossover of complex LRFPs.

Profile:
Dr. Zhijin Li is a professor in Shing-Tung Yau Center and School of Physics, Southeast University. He obtained his PhD degree in Texas A&M University in 2017. He joined the Simons collaboration program on conformal bootstrap as a postdoctor in Porto University (2018-2019) and Yale University (2019-2022). Dr. Zhijin Li has joined Shing-Tung Yau Center at Southeast University as a faculty member since 2022. Dr. Zhijin Li’s research focuses on the nonperturbative study of the strongly coupled gauge theories.

Tencent Meeting：493-516-913