Q-operator and T-Q relation from the fusion hierarchy

Yang, Wen-Li, Nepomechie, Rafael I. and Zhang, Yao-Zhong (2006) Q-operator and T-Q relation from the fusion hierarchy. Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 633 4-5: 664-670. doi:10.1016/j.physletb.2005.12.022


Author Yang, Wen-Li
Nepomechie, Rafael I.
Zhang, Yao-Zhong
Title Q-operator and T-Q relation from the fusion hierarchy
Formatted title
Q-operator and T-Q relation from the fusion hierarchy
Journal name Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics   Check publisher's open access policy
ISSN 0370-2693
1873-2445
Publication date 2006-02-16
Sub-type Article (original research)
DOI 10.1016/j.physletb.2005.12.022
Open Access Status DOI
Volume 633
Issue 4-5
Start page 664
End page 670
Total pages 7
Editor L. Rolandi
M. Doser
W. D. Schlatter
Place of publication Amsterdam, Netherlands
Publisher Elsevier
Collection year 2006
Language eng
Subject C1
230199 Mathematics not elsewhere classified
780101 Mathematical sciences
Formatted abstract
We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j -> ∞ limit of the transfer matrix with spin-j (i.e., (2j + 1)-dimensional) auxiliary space. Applying this observation to the open chain with general (non-diagonal) integrable boundary terms, we obtain from the fusion hierarchy the T-Q relation for generic values (i.e., not roots of unity) of the bulk anisotropy parameter. We use this relation to determine the Bethe ansatz solution of the eigenvalues of the fundamental transfer matrix. This approach is complementary to the one used recently to solve the same model for the roots of unity case.
Keyword Spin chain
Reflection equation
Bethe ansatz
Q-operator
Fusion hierarchy
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

 
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Created: Wed, 15 Aug 2007, 09:08:12 EST