The strong Gauss-Lucas theorem and analyticity of correlation functions via the Lee-Yang theorem

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. Published under an exclusive license by AIP Publishing.

Automated summary

The study introduces a simple mechanism for transitioning from Lee-Yang theorems to analyticity of correlation functions by utilizing underappreciated inequalities by Newman. Additionally, a Lee-Yang approach that can recover results of a low-density cluster expansion for spin S models without combinatorial calculations is described.