Exact solubility of the self-dual and the string melting points in the restricted solid-on-solid model

Exact solubility of the self-dual and the string melting points in the restricted solid-on-solid model
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受限固对固模型中自对偶熔点和弦熔点的精确溶解度

DOI:
10.1088/0305-4470/19/10/016
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发表时间:
1986
期刊:
影响因子:
--
通讯作者:
M. Nijs
M. Nijs
中科院分区:
--
文献类型:
--
作者:
T. T. Truong;M. Nijs

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限制的固体对固体模型,它描述了粗糙化的二维界面,被发现是完全可溶于两种情况下:在一个点,该模型是自对偶下的对偶变换的五态时钟模型和在字符串熔化过渡的模型属于相同的普适性类作为伊辛模型的横向振动晶格。这两个点都位于Zamolodchikov和Fateev(1980)求解的19顶点模型的子空间中。
The restricted solid-on-solid model, which describes the roughening of two-dimensional interfaces, is found to be exactly soluble in two instances: at a point where the model is self-dual under the duality transformation of the five-state clock model and at the string melting transition where the model belongs to the same universality class as an Ising model on a transverse vibrating lattice. Both points are located in the subspace of the 19-vertex model solved by Zamolodchikov and Fateev (1980).