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

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

2007-11-03

arxiv.org/abs/0711.0457v3

J. Phys. A: Math. Theor. 41 (2008) 095003 (24pp)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages; sections 8 and A.2 are extended, 2 related references are added

Scientific paper

10.1088/1751-8113/41/9/095003

We continue our investigation of the Baxter-Bazhanov-Stroganov or \tau^{(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.

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