Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- January 2011
- DOI:
- 10.1007/JHEP01(2011)006
- arXiv:
- arXiv:1011.4719
- Bibcode:
- 2011JHEP...01..006Y
- Keywords:
-
- Bethe Ansatz;
- Lattice Integrable Models;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- Latex file, 28 pages, based on the talk given by W. -L. Yang at Statphys 24, Cairns, Australia, 19-23 July, 2010