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Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms

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Abstract

The determinant representation of the scalar products of the Bethe states of the open XXZ spin chain with non-diagonal boundary terms is studied. Using the vertex-face correspondence, we transfer the problem into the corresponding trigonometric solid-on-solid (SOS) model with diagonal boundary terms. With the help of the Drinfeld twist or factorizing F-matrix, we obtain the determinant representation of the scalar products of the Bethe states of the associated SOS model. By taking the on shell limit, we obtain the determinant representations (or Gaudin formula) of the norms of the Bethe states.

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, Xian, 710069, P.R. China

    Wen-Li Yang, Xi Chen, Jun Feng, Kun Hao, Bo-Yu Hou & Kang-Jie Shi

  2. The University of Queensland, School of Mathematics and Physics, Brisbane, QLD 4072, Australia

    Yao-Zhong Zhang

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  1. Wen-Li Yang
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  2. Xi Chen
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Correspondence to Wen-Li Yang.

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ArXiv ePrint: 1011.4719

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Yang, WL., Chen, X., Feng, J. et al. Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms. J. High Energ. Phys. 2011, 6 (2011). https://doi.org/10.1007/JHEP01(2011)006

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