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

Yang, Wen-Li, Chen, Xi, Feng, Jun, Hao, Kun, Hou, Bo-Yu, Shi, Kang-Jie and Zhang, Yao-Zhong (2011) Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms. Journal of High Eneregy Physics, 2011 1: 1-18. doi:10.1007/JHEP01(2011)006


Author Yang, Wen-Li
Chen, Xi
Feng, Jun
Hao, Kun
Hou, Bo-Yu
Shi, Kang-Jie
Zhang, Yao-Zhong
Title Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
Journal name Journal of High Eneregy Physics   Check publisher's open access policy
ISSN 0550-3213
1873-1562
Publication date 2011-01
Sub-type Article (original research)
DOI 10.1007/JHEP01(2011)006
Open Access Status DOI
Volume 2011
Issue 1
Start page 1
End page 18
Total pages 18
Place of publication Amsterdam, The Netherlands
Publisher Elsevier BV
Collection year 2012
Language eng
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-onsolid (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.
Keyword Bethe Ansatz
Lattice Integrable Models
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
 
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Created: Sun, 27 Mar 2011, 00:06:31 EST