Work

Comparing the Lee-Yang gap with the mass gap in the sub-critical planar Ising model

Year: 2026

Type: preprint

Abstract: We prove that the subcritical mass gap is comparable to the Lee-Yang gap over free-boundary square boxes raised to the power $8/15$. Random-current moment bounds, a correlation inequality and a finite block expansion give the upper bound. The lower bound follows from the Lee-Yang product, the susceptibility and the critical magnetization. We also obtain uniform factorial bounds on the field derivatives of the pressure.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.25348

Authors: Borgnia, Noam, Chung, Jui-Hui, Shapiro, Jacob

Institutions: Technical University of Munich, Princeton University, University of Vienna

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Classification of Topological Insulators

OpenAlex ID: W7214092282

Cites: 21

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Related to: 10