$T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms
High Energy Physics - Theory
2010-04-05 v3
Abstract
We propose that the Baxter's -operator for the XYZ quantum spin chain with open boundary conditions is given by the limit of the corresponding transfer matrix with spin- (i.e., -dimensional) auxiliary space. The associated - relation is derived from the fusion hierarchy of the model. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. This solution yields the complete spectrum of the Hamiltonian.
Keywords
Cite
@article{arxiv.hep-th/0512154,
title = {$T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms},
author = {Wen-Li Yang and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:hep-th/0512154},
year = {2010}
}
Comments
Revtex4, 4 pages; V2, Latex file, 22 pages, the title is changed and new version contains the detailed derivations; V3, minor typos corrected, this version appears in Nucl. Phys. B