Large $N$ Limit of the $O(N)$ Linear Sigma Model via Stochastic Quantization

Hao Shen, Scott Smith, Rongchan Zhu +1

This article studies large $N$ limits of a coupled system of $N$ interacting ${\Phi }^4$ equations posed over ${\mathbb{T}}^d$ for $d=2$, known as the $O(N)$ linear sigma model. Uniform…