Q-operator and T-Q relation from the fusion hierarchy
文献类型:期刊论文
作者 | Yang, WL; Nepomechie, RI; Zhang, YZ |
刊名 | PHYSICS LETTERS B
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出版日期 | 2006-02-16 |
卷号 | 633页码:664-670 |
关键词 | spin chain reflection equation bethe ansatz Q-operator fusion hierarchy |
ISSN号 | 0370-2693 |
DOI | 10.1016/j.physletb.2005.12.022 |
英文摘要 | We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j -> infinity 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. (c) 2005 Elsevier B.V. All rights reserved. |
WOS关键词 | NONDIAGONAL BOUNDARY TERMS ; BETHE-ANSATZ SOLUTION ; CONFORMAL FIELD-THEORY ; XXZ SPIN CHAIN ; FUNCTIONAL RELATIONS ; INTEGRABLE STRUCTURE ; BAXTER EQUATION ; MODEL ; STATE ; 8-VERTEX |
WOS研究方向 | Physics |
语种 | 英语 |
WOS记录号 | WOS:000235229300044 |
出版者 | ELSEVIER SCIENCE BV |
源URL | [http://119.78.100.186/handle/113462/26937] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Yang, WL |
作者单位 | 1.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 2.Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia 3.Univ Miami, Dept Phys, Coral Gables, FL 33124 USA |
推荐引用方式 GB/T 7714 | Yang, WL,Nepomechie, RI,Zhang, YZ. Q-operator and T-Q relation from the fusion hierarchy[J]. PHYSICS LETTERS B,2006,633:664-670. |
APA | Yang, WL,Nepomechie, RI,&Zhang, YZ.(2006).Q-operator and T-Q relation from the fusion hierarchy.PHYSICS LETTERS B,633,664-670. |
MLA | Yang, WL,et al."Q-operator and T-Q relation from the fusion hierarchy".PHYSICS LETTERS B 633(2006):664-670. |
入库方式: OAI收割
来源:近代物理研究所
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