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arXiv · 0711.0457

Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice

G. von Gehlen·N. Iorgov·S. Pakuliak·V. Shadura·Yu. Tykhyy
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Abstract

We continue our investigation of the Baxter-Bazhanov-Stroganov or τ^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive for the first time the factorized formula for form-factors of the Ising model on a finite lattice conjectured previously by A.Bugrij and O.Lisovyy in [arXiv:0708.3625,arXiv:0708.3643]. We also find the matrix elements of the spin operator for the finite quantum Ising chain in a transverse field.

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G. von Gehlen, N. Iorgov, S. Pakuliak, V. Shadura, Yu. Tykhyy. 2008-04-14. Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice. https://doi.org/10.1088/1751-8113%2F41%2F9%2F095003

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