论文标题
关键ISING模型边界相关性的公式
A formula for boundary correlations of the critical Ising model
论文作者
论文摘要
鉴于平面中多边形区域的有限菱形瓷砖，在Star-Triangle变换下，相关的临界$ Z $ -Invariant Ising模型是不变的。我们给出了一个简单的矩阵公式，描述了边界顶点之间的自旋相关性，从该区域的形状角度来看。当该区域是常规多边形时，我们的公式将成为明确的三角总和。
Given a finite rhombus tiling of a polygonal region in the plane, the associated critical $Z$-invariant Ising model is invariant under star-triangle transformations. We give a simple matrix formula describing spin correlations between boundary vertices in terms of the shape of the region. When the region is a regular polygon, our formula becomes an explicit trigonometric sum.
