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

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.

24 pages

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Cited by in corpus (24)

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• Reconstruction of Baxter Q-operator from Sklyanin SOV for cyclic representations of integrable quantum models
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Completeness of Bethe Ansatz by Sklyanin SOV for Cyclic Representations of Integrable Quantum Models
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• On determinant representations of scalar products and form factors in the SoV approach: the XXX case
• Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
• Eigenvectors in the Superintegrable Model I: sl_2 Generators
• The open XXZ spin chain in the SoV framework: scalar product of separate states
• On the form factors of local operators in the lattice sine-Gordon model
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
• Form-factors of the finite quantum XY-chain
• The tau_2-model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin's SOV method
• Factorized finite-size Ising model spin matrix elements from Separation of Variables
• On Separation of Variables for Reflection Algebras
• Identities in the Superintegrable Chiral Potts Model
• Finite-lattice form factors in free-fermion models
• Periodic Ising Correlations
• Spin Matrix for the Scaled Periodic Ising Model
• Ising correlations and elliptic determinants
• Bethe Equation of ${\tau }^{(2)}$-model and Eigenvalues of Finite-size Transfer Matrix of Chiral Potts Model with Alternating Rapidities
• Form factors of twist fields in the lattice Dirac theory