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首页> 外文期刊>Annales Henri Poincare >On the Form Factors of Local Operators in the Bazhanov-Stroganov and Chiral Potts Models
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On the Form Factors of Local Operators in the Bazhanov-Stroganov and Chiral Potts Models

机译：Bazhanov-Stroganov模型和手性Potts模型中的本地算子的形状因子

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We consider general cyclic representations of the six-vertex Yang-Baxter algebra and analyze the associated quantum integrable systems, the Bazhanov-Stroganov model and the corresponding chiral Potts model on finite size lattices. We first determine the propagator operator in terms of the chiral Potts transfer matrices and we compute the scalar product of separate states (including the transfer matrix eigenstates) as a single determinant formulae in the framework of Sklyanin's quantum separation of variables. Then, we solve the quantum inverse problem and reconstruct the local operators in terms of the separate variables. We also determine a basis of operators whose form factors are characterized by a single determinant formulae. This implies that the form factors of any local operator are expressed as finite sums of determinants. Among these form factors written in determinant form are in particular those which will reproduce the chiral Potts order parameters in the thermodynamic limit. The results presented here are the generalization to the present models associated to the most general cyclic representations of the six-vertex Yang-Baxter algebra of those we derived for the lattice sine-Gordon model.
机译：我们考虑六顶点Yang-Baxter代数的一般循环表示形式，并分析相关的量子可积系统，Bazhanov-Stroganov模型以及相应的手性Potts模型在有限尺寸格上的分布。我们首先根据手性Potts转移矩阵确定传播算子，然后在Sklyanin变量的量子分离框架中，将单独状态（包括转移矩阵本征态）的标量积作为单个行列式公式进行计算。然后，我们解决了量子逆问题，并根据单独的变量重建了局部算子。我们还确定了以单个行列式公式为特征的形状因数算子的基础。这意味着任何局部算子的形状因子都以行列式的有限和表示。在这些以决定性形式书写的形状因子中，特别是那些将在热力学极限中重现手性Potts顺序参数的形状因子。这里介绍的结果是对与我们为晶格正弦-戈登模型推导的六顶点Yang-Baxter代数的最通用循环表示形式相关的当前模型的推广。

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