论文标题

来自代数几何形状的6 vertex模型的圆柱分区功能

Cylinder partition function of the 6-vertex model from algebraic geometry

论文作者

Bajnok, Zoltan, Jacobsen, Jesper Lykke, Jiang, Yunfeng, Nepomechie, Rafael I., Zhang, Yang

论文摘要

我们使用Bethe Ansatz和代数几何形状来计算具有自由边界条件的圆柱几何形状上的各向同性6 Vertex模型的精确分区函数。我们在开放式和封闭的通道中执行计算。我们还考虑了部分热力学极限,在开放(封闭)通道中,开放(闭合)方向保持很小,而另一个方向变大。我们在两个部分热力学极限中计算分区函数的零,并与冷凝曲线进行比较。

We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial thermodynamic limits, whereby in the open (closed) channel, the open (closed) direction is kept small while the other direction becomes large. We compute the zeros of the partition function in the two partial thermodynamic limits, and compare with the condensation curves.

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