八顶点模型中的离散全纯仿费米子
Discrete Holomorphic Parafermions in the Eight Vertex Model
摘要：
我们证明了八顶点模型中存在全纯的仿费米子。这是通过利用参数重定义将定义从六顶点模型扩展到八顶点模型来完成的。这些仿费米子存在于八顶点模型的临界平面和可积情形。结果表明，对于交错八顶点模型，这些Parafermions与Ashkin-Teller模型的Parafermions是一致的。此外，八顶点模型的循环表示使我们能够显示与O（n）模型的连接，这与作为O（n）模型的特殊情况发现的六顶点极限一致。
英文摘要：
We show that holomorphic Parafermions exist in the eight vertex model. This is done by extending the definition from the six vertex model to the eight vertex model utilizing a parameter redefinition. These Parafermions exist on the critical plane and integrable cases of the eight vertex model. We show that for the case of staggered eight vertex model, these Parafermions correspond to those of the Ashkin-Teller model. Furthermore, the loop representation of the eight vertex model enabled us to show a connection with the O(n) model which is in agreement with the six vertex limit found as a special case of the O(n) model.
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