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arXiv 1407.6883cond-mat.stat-mechhep-thmath-phmath.MP
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非齐次人脸模型的反演恒等式

Inversion identities for inhomogeneous face models

Holger Frahm, Nikos Karaiskos

摘要:

利用局部Boltzmann权的可积结构和交叉性质,得到了具有任意边界条件的非均匀相互作用-圆面(IRF)模型的传递矩阵所满足的精确反演恒等式.对于临界限制固体对固体(RSOS)模型,这些身份连同一些信息的传输矩阵的分析性质完全确定的频谱,并允许推导出贝特方程的周期性和一般的开边界条件。

英文摘要:

We derive exact inversion identities satisfied by the transfer matrix of inhomogeneous interaction-round-a-face (IRF) models with arbitrary boundary conditions using the underlying integrable structure and crossing properties of the local Boltzmann weights. For the critical restricted solid-on-solid (RSOS) models these identities together with some information on the analytical properties of the transfer matrix determine the spectrum completely and allow to derive the Bethe equations for both periodic and general open boundary conditions.

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