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

Barry Simon

Type: Article

Publication Date: 2022-03-01

Citations: 3

DOI: https://doi.org/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.

Locations

Journal of Mathematical Physics - View
arXiv (Cornell University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF
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Works Cited by This (26)

Action	Title	Year	Authors
+	Statistical Mechanics: Rigorous Results	1969	David Ruelle
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+	Rigorous Results for Ising Ferromagnets of Arbitrary Spin	1969	Robert B. Griffiths
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