Bethe ansatz solution of the $\tau_2$-model with arbitrary boundary fields

Xiaotian Xu; Kun Hao; Tao Yang; Junpeng Cao; Wen-Li Yang; Kangjie Shi

doi:10.1007/JHEP11(2016)080

Bethe ansatz solution of the $\tau_2$-model with arbitrary boundary fields

Mathematical Physics 2016-12-21 v2 Statistical Mechanics High Energy Physics - Theory math.MP

Authors: Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang , Kangjie Shi

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Abstract

The quantum $\tau_2$ -model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an inhomogeneous T-Q relation, which is based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. Moreover, the associated Bethe Ansatz equations are also obtained.

Keywords

bethe ansatz eigenvalue spectra boundary value problems

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@article{arxiv.1608.06209,
  title  = {Bethe ansatz solution of the $\tau_2$-model with arbitrary boundary fields},
  author = {Xiaotian Xu and Kun Hao and Tao Yang and Junpeng Cao and Wen-Li Yang and Kangjie Shi},
  journal= {arXiv preprint arXiv:1608.06209},
  year   = {2016}
}

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26 pages, no figures, published version

Bethe ansatz solution of the $\tau_2$-model with arbitrary boundary fields

Abstract

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