论文标题
小人和XY模型中的随机簇
Random clusters in the Villain and XY models
论文作者
论文摘要
在ISING和POTTS模型中，随机群集表示为自旋相关性提供了几何解释。我们讨论了反派和XY模型的类似构造，其中旋转在圆圈中采用值，以及对具有不同单位旋转空间的模型的扩展。在反派情况下，我们从模型的电缆系统扩展方面强调了自然解释。我们还列出了以这种方式获得的集群表示形式的问题和开放问题。
In the Ising and Potts model, random cluster representations provide a geometric interpretation to spin correlations. We discuss similar constructions for the Villain and XY models, where spins take values in the circle, as well as extensions to models with different single site spin spaces. In the Villain case, we highlight natural interpretation in terms of the cable system extension of the model. We also list questions and open problems on the cluster representations obtained in this fashion.
