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

2007/11/30 by G von Gehlen, G. von Gehlen, N Iorgov +7 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum many-body systems #Random Matrices and Applications #cond-mat.stat-mech #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1751-8113/41/9/095003

published as J. Phys. A: Math. Theor. 41 (2008) 095003 (24pp) · 25 pages; sections 8 and A.2 are extended, 2 related references are added

openalex publication_date 2008/02/19 · arxiv created 2008/04/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements
• The Baxter–Bazhanov–Stroganov model: separation of variables and the Baxter equation
• Superintegrable chiral Potts model: Thermodynamic properties, an ?inverse? model, and a simple associated Hamiltonian
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Statistical hydrodynamics

Cited by

• Reconstruction of Baxter Q-operator from Sklyanin SOV for cyclic representations of integrable quantum models