KPZ equation limit of stochastic higher spin six vertex model

Yier Lin

doi:10.1007/s11040-019-9325-5

paper

KPZ equation limit of stochastic higher spin six vertex model

arXiv:1905.11155 · doi:10.1007/s11040-019-9325-5

Abstract

We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameters $I, J$ . Starting from near stationary initial condition, we prove that the SHS6V model converges to the KPZ equation under weakly asymmetric scaling. This generalizes the result of [Corwin-Ghosal-Shen-Tsai, 2018] from $I = J = 1$ to general $I, J$ .

79 pages, 6 figure. To appear in Mathematical physics, analysis and geometry