论文标题
O（N）自旋系统和相关模型的横向相关性的指数衰减
Exponential decay of transverse correlations for O(N) spin systems and related models
论文作者
论文摘要
我们证明，对于外部磁场的任意（非零）值的自旋O（n）模型中的横向相关性的指数衰减。当n> 3时，我们的结果是新的，在这种情况下，没有lee-yang定理，当n = 2、3 = 2、3和多组件的contess consents consents consents contess contess contess contess contess contess contess contess conterments ne and Lee-yang Theorem均可使用。关键成分是该模型作为彩色随机路径系统，“颜色开关”引理系统和采样过程的表示，使我们可以从开放路径的“典型”长度上方绑定。
We prove exponential decay of transverse correlations in the Spin O(N) model for arbitrary (non-zero) values of the external magnetic field and arbitrary spin dimension N > 1. Our result is new when N > 3, in which case no Lee-Yang theorem is available, it is an alternative to Lee-Yang when N = 2, 3, and also holds for a wide class of multi-component spin systems with continuous symmetry. The key ingredients are a representation of the model as a system of coloured random paths, a `colour-switch' lemma, and a sampling procedure which allows us to bound from above the `typical' length of the open paths.
