Work

The Ding-Song-Sun inequality for a class of even ferromagnets

Year: 2026

Type: preprint

Abstract: Ding-Song-Sun proved the remarkable correlation inequality that the truncated two-point correlation function of ferromagnetic Ising models with arbitrary mixed-sign external field is largest when the field vanishes. This inequality has various important consequences such as log-Sobolev inequalities for Ising and $φ^4$ models up to and at the critical point. We extend the DSS inequality to the class of single spin measures satisfying the GHS condition. This is an important ingredient in our proof of the log-Sobolev inequality for the massless sinh-Gordon model on $\mathbb{R}^2$ in a forthcoming article.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.08980

Authors: Abdelghani, Omar, Bauerschmidt, Roland, Bodineau, Thierry, Dagallier, Benoit

Institutions: Courant Institute of Mathematical Sciences, New York University, Centre National de la Recherche Scientifique, University of Bonn, Université Paris-Saclay, Laboratoire Alexander Grothendieck, Imperial College London

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: Renormalization, dynamics, and spontaneous symmetry breaking

OpenAlex ID: W7212070332

Cites:

Cited by: 2

Related to: 10