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

2007/08/31 by G von Gehlen, G. von Gehlen, N. Iorgov +6 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1751-8113/40/47/006

published as J. Phys. A: Math. Theor. 40 (2007) 14117-14138 · 24 pages

arxiv created 2007/09/02 · openalex publication_date 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The method of vacuum vectors in the theory of Yang - Baxter equation
• Superintegrable chiral Potts model: Thermodynamic properties, an ?inverse? model, and a simple associated Hamiltonian

Cited by

• Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice
• Reconstruction of Baxter Q-operator from Sklyanin SOV for cyclic representations of integrable quantum models