Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov $τ_2$-model for N=2

Details Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov $τ_2$-model for N=2 Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov $τ_2$-model for N=2

2005-12-11

arxiv.org/abs/nlin/0512026v1

J. Phys. A39 (2006) 2265-2285

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

10.1088/0305-4470/39/10/003

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.

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