Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov ${\tau }_2$-model for N=2

Abstract

We find a representation of the row-to-row transfer matrix of the Baxter-Bazhanov-Stroganov ${\tau }_2$-model for N=2 in terms of an integral over two commuting sets of grassmann variables. Using this representation, we explicitly calculate transfer matrix eigenvectors and normalize them. It is also shown how form factors of the model can be expressed in terms of determinants and inverses of certain Toeplitz matrices.

23 pages

References in corpus (1)

• Spin matrix elements in 2D Ising model on the finite lattice

Cited by in corpus (9)

• Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
• Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
• Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
• Spin operator matrix elements in the quantum Ising chain: fermion approach
• Factorized finite-size Ising model spin matrix elements from Separation of Variables
• Identities in the Superintegrable Chiral Potts Model
• Finite-lattice form factors in free-fermion models
• Eigenvectors of open Bazhanov-Stroganov quantum chain
• Ising correlations and elliptic determinants