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arXiv · 0708.4342

Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements

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

We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N=2 we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.

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G. von Gehlen, N. Iorgov, S. Pakuliak, V. Shadura, Yu. Tykhyy. 2007-09-02. Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements. https://doi.org/10.1088/1751-8113/40/47/006

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