报告题目：Analytic trajectory bootstrap for matrix models

报告人：李文亮 副教授 （中山大学）

报告时间：2024年10月24日（周四）下午15:30-16:30

报告地点：北洋园校区49教410室

报告摘要：

We propose a new nonperturbative approach to bootstrap matrix models based on analytic continuation in the numbers of matrices. We first revisit the solvable large N one-matrix-model with quartic potential. Then we discuss the two-matrix model with Tr[A,B]^2 interaction and quartic potentials, which is not analytically solvable. Analytic continuations in the lengths of the words lead to analytic trajectories of single trace moments, as well as intriguing intersections of different trajectories. For a given length cutoff, our results are within and more accurate than the positivity bounds from the relaxation method. We also present some results for the long words and the eigenvalue distributions, which are consistent with and more accurate than the previous Monte Carlo results. In the end, we consider symmetry breaking solutions. This novel bootstrap approach may be extended to more complicated matrix models (e.g. IKKT, BFSS, BMN) and lattice gauge theories/spin models.

报告人简介：

李文亮，中山大学物理学院副教授。中山大学本科，法国巴黎高师硕士，法国巴黎七大学博士，先后于希腊克里特大学、韩国首尔国立大学、庆熙大学、日本冲绳科学技术大学院大学从事博士后研究，于2021年入职中山大学。近年来的研究兴趣为通过发展新的非微扰Bootstrap方法，加深对高能物理和凝聚态物理中强耦合现象的理解，独立作者工作发表于PRL、JHEP等国际一流物理期刊。