The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem
arXiv:2111.00650 · doi:10.1063/5.0077229
Abstract
We provide a simple mechanism for going from Lee-Yang type theorems to analyticity of correlation functions by exploiting under appreciated inequalities of Newman. We also describe a Lee-Yang approach that recovers the consequences of a low density cluster expansion for spin S models without any combinatorics.