报告题目：Stochastic quantization to perturbation theory of $\Phi^4_2$: asymptoticity and short distance

报 告 人：朱蓉禅教授（北京理工大学）

报告时间：2022年5月19日  10:30-12:30

报告地点：腾讯会议（259246301）

报告摘要：

In this talk we study the perturbation theory of  $\Phi^4_2$ model on the whole plane via stochastic quantization. We use integration by parts formula (i.e. Dyson-Schwinger equations) to generate the perturbative expansion for the $k$-point correlation functions, and prove bounds on the remainder of the truncated expansion using SPDE estimates; this in particular proves that the expansion is asymptotic. Furthermore, we derive short distance behaviors of the $2$-point function and the connected $4$-point function, also via suitable Dyson-Schwinger equations combined with SPDE arguments. This talk is based on joint work with Hao Shen and Xiangchan Zhu.

报告人简介：

朱蓉禅，北京理工大学教授。2012年博士毕业于中国科学院数学与系统科学研究院和德国比勒菲尔德大学。2019年获国家自然科学基金优秀青年基金项目。在《Comm. Pure Appl. Math.》《The annals of Probability》等期刊上发表或者接受发表多篇论文。