Conformal invariance of spin correlations in the planar Ising model

被引：78

作者：

Chelkak, Dmitry ^{[1
,2
]}

Hongler, Clement ^{[3
]}

Izyurov, Konstantin ^{[2
]}

机构：

[1] VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191011, Russia

[2] St Petersburg State Univ, Dept Math & Mech, Chebyshev Lab, St Petersburg 199034, Russia

[3] Columbia Univ, New York, NY USA

来源：

ANNALS OF MATHEMATICS | 2015年 / 181卷 / 03期

基金：

芬兰科学院; 瑞士国家科学基金会; 美国国家科学基金会;

关键词：

PROBABILITIES; STATISTICS; SYMMETRY; SURFACE;

D O I：

10.4007/annals.2015.181.3.5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming from the physical and the mathematical literature. The proof relies on convergence results for discrete holomorphic spinor observables and probabilistic techniques.

引用

页码：1087 / 1138

页数：52

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