发表机构
Courant Institute of Mathematical Sciences, New York University; Institut für Angewandte Mathematik, Universität Bonn; I.H.E.S., Université Paris-Saclay, CNRS, Laboratoire Alexandre Grothendieck; Department of Mathematics, Imperial College London（纽约大学库朗数学科学研究所; 波恩大学应用数学研究所; 法国高等科学研究所、巴黎萨克雷大学、法国国家科学研究中心亚历山大·格罗滕迪克实验室; 伦敦帝国理工学院数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文推广Ding-Song-Sun不等式至满足GHS条件的单自旋测度类，为后续证明无质量sinh-Gordon模型的log-Sobolev不等式奠定基础。
AI 中文摘要
Ding-Song-Sun证明了显著的关联不等式：对于具有任意混合符号外场的铁磁Ising模型，其截断两点关联函数在磁场为零时最大。该不等式具有各种重要推论，例如在临界点及临界点以下的Ising和$\varphi^4$模型的log-Sobolev不等式。我们将DSS不等式推广到满足GHS条件的单自旋测度类。这是我们在即将发表的文章中证明$\mathbb{R}^2$上无质量sinh-Gordon模型的log-Sobolev不等式的重要成分。
英文摘要
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.
CommentsThis paper will not be published separately and will remain a permanent preprint. Its content has been included in "Log-Sobolev inequality for the sinh-Gordon model" by the same authors
