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Towards integrable structure in 3d Ising model

机译:朝着3D ising模型中的可积结构

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In this paper, we proceed to the study of tetrahedral symmetry in the 3D Ising model, which is considered as the first forerunner of integrability. The weight matrix of the model on a regular cubic lattice satisfying the twisted tetrahedron equation (TTE) is constructed. The latter is a modification of the Zamolodchikov tetrahedron equation, which appeared in integrable 3D statistical models. The method is based on the theory of the n-simplicial complex and the original recursion procedure on the space of n-simplex solutions. This recursion deserves its own investigation. Surprisingly, the weight matrix has some properties inherent for the hypercube combinatorics and coding theory. (C) 2019 Elsevier B.V. All rights reserved.
机译:在本文中,我们继续研究3D ising模型中的四面体对称性,被认为是可积液的第一先行者。 构建了满足扭曲的四面体(TTE)的常规立方格晶格上的模型的重量矩阵。 后者是对Zamolodchikov四面体式方程的修改,该方程出现在可集成的3D统计模型中。 该方法基于N-Simplex解决方案空间的N-Skinal Complex和原始递归过程的理论。 此递归值得自己调查。 令人惊讶的是,体重矩阵具有超级布学组合和编码理论的一些属性。 (c)2019年Elsevier B.V.保留所有权利。

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