Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
Exactly Solvable and Integrable Systems
2008-03-12 v2 Statistical Mechanics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0708.4342,
title = {Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements},
author = {G. von Gehlen and N. Iorgov and S. Pakuliak and V. Shadura and Yu. Tykhyy},
journal= {arXiv preprint arXiv:0708.4342},
year = {2008}
}
Comments
24 pages