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

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

2007-08-31

arxiv.org/abs/0708.4342v2

J. Phys. A: Math. Theor. 40 (2007) 14117-14138

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

10.1088/1751-8113/40/47/006

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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