平面 Ising 模型中自旋关联的共形不变性
数学物理
2014-07-17 v3 复变函数
math.MP
概率论
摘要
我们严格证明了任意单连通平面区域上临界 Ising 模型中磁化强度及多点自旋关联的标度极限的存在性及其共形不变性。这解决了来自物理和数学文献中的若干猜想。证明依赖于离散全纯旋量可观测量收敛结果及概率论技术。
引用
@article{arxiv.1202.2838,
title = {Conformal Invariance of Spin Correlations in the Planar Ising Model},
author = {Dmitry Chelkak and Clément Hongler and Konstantin Izyurov},
journal= {arXiv preprint arXiv:1202.2838},
year = {2014}
}
备注
Changes in this version: the explicit formula for n-point spin correlations is proved in full generality. The appendix is rewritten completely and contains this new proof, the introduction is changed accordingly, the presentation in Sections 2.5 and 2.7(2.8) is rearranged slightly. 42 pages, 2 figures