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

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

Published:2022-03-01 Issue:3 Volume:63 Page:033302
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Simon Barry¹^ORCID

Affiliation:

1. Departments of Mathematics and Physics, Mathematics 253-37, California Institute of Technology, Pasadena, California 91125, USA

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.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0077229

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