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Published March 2022 | Published + Submitted
Journal Article Open

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

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.

Additional Information

© 2022 Author(s). Published under an exclusive license by AIP Publishing. Submitted: 31 October 2021 • Accepted: 27 January 2022 • Published Online: 1 March 2022. This research was supported, in part, by Israeli BSF (Grant No. 2020027). Dedicated to the memory of Freeman Dyson. DATA AVAILABILITY. Data sharing is not applicable to this article as no new data were created or analyzed in this study. The author has no conflicts of interest to disclose.

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Published - 033302_1_online.pdf

Submitted - 2111-00650.pdf

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Additional details

Created:
October 9, 2023
Modified:
October 24, 2023