Abstract
The generic quantum τ 2-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in τ j -hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T − Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T − Q relation does indeed give the complete spectrum.
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Xu, X., Cao, J., Cui, S. et al. Off-diagonal Bethe Ansatz solution of the τ 2-model. J. High Energ. Phys. 2015, 212 (2015). https://doi.org/10.1007/JHEP09(2015)212
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DOI: https://doi.org/10.1007/JHEP09(2015)212