English

The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem

Mathematical Physics 2022-03-14 v1 Combinatorics math.MP

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.

Keywords

Cite

@article{arxiv.2111.00650,
  title  = {The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem},
  author = {Barry Simon},
  journal= {arXiv preprint arXiv:2111.00650},
  year   = {2022}
}