KPZ Equation Limit of Stochastic Higher Spin Six Vertex Model

@article{Lin2019KPZEL,
  title={KPZ Equation Limit of Stochastic Higher Spin Six Vertex Model},
  author={Yier Lin},
  journal={Mathematical Physics, Analysis and Geometry},
  year={2019}
}
  • Yier Lin
  • Published 27 May 2019
  • Mathematics
  • Mathematical Physics, Analysis and Geometry
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 $I, J$. 
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