Large $N$ Limit of $O(N)$ Model Via Stochastic Quantization
Time: 2024-10-16
Published By: Xiaoni Tan
Speaker(s): Rongchan Zhu (Beijing Institute of Technology)
Time: 10:00-11:30 October 19, 2024
Venue: Room 29, Quan Zhai, BICMR
Abstract: Over the last decade, significant progress has been made in the field of singular SPDEs due to the theory of regularity structures introduced by Hairer and the paracontrolled calculus proposed by Gubinelli, Imkeller and Perkowski. One notable application of singular SPDEs is in the stochastic quantization of quantum fields. During this talk, I will explore large $N$ limits of a coupled system of $N$ interacting $\Phi^4$ models via stochastic quantization.