论文标题

Ising模型作为Wilson-Majorana Fermions

Ising model as Wilson-Majorana Fermions

论文作者

Wolff, Ulli

论文摘要

我们显示了2D ISING模型与威尔逊Majortana类型的标准游离欧几里得晶格费米相当。两个系统分区函数的循环表示的平等是针对具有明确定义的边界条件的有限晶格建立的。在这种情况下,蜂窝晶状体特别简单,因此首先讨论,然后再进行更熟悉的方格案例。

We show the equivalence of the 2D Ising model to standard free Euclidean lattice fermions of the Wilson Majorana type. The equality of the loop representations for the partition functions of both systems is established exactly for finite lattices with well-defined boundary conditions. The honeycomb lattice is particularly simple in this context and therefore discussed first and only then followed by the more familiar square lattice case.

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