Sine-Gordon description of the scaling three-state Potts antiferromagnet on the square lattice
Sine-Gordon description of the scaling three-state Potts antiferromagnet on the square lattice
复制标题
方晶格上缩放三态 Potts 反铁磁体的正弦戈登描述
DOI：
10.1088/0305-4470/34/21/102
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
G. Delfino
中科院分区：
文献类型：
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作者：
G. Delfino
用正弦戈登量子场论描述了反铁磁三态波茨模型在方晶格上的尺度极限T→0时的特定耦合值。通过对基于局部性的正弦戈登算子空间的分析，我们证明了这种对应关系是明确的，并且携带孤子电荷的标量算子在晶格模型的描述中起着至关重要的作用。然后，我们评估了形状因子方法中的相关函数，并给出了一些可以在数值模拟中检查的通用预测。
The scaling limit as T →0 of the antiferromagnetic three-state Potts model on the square lattice is described by the sine-Gordon quantum field theory at a specific value of the coupling. We show that the correspondence follows unambigously from an analysis of the sine-Gordon operator space based on locality, and that the scalar operators carrying solitonic charge play an essential role in the description of the lattice model. We then evaluate the correlation functions within the form factor approach and give a number of universal predictions that can be checked in numerical simulations.