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

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.

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

References in corpus (2)

• Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
• Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements

Cited by in corpus (12)

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• Quantum computing critical exponents
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Effective free-fermionic form factors and the XY spin chain
• Divergent nonlinear response from quasiparticle interactions
• Finite-lattice form factors in free-fermion models
• Bethe Equation of ${\tau }^{(2)}$-model and Eigenvalues of Finite-size Transfer Matrix of Chiral Potts Model with Alternating Rapidities
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems