T-Q relation and exact solution for the XYZ chain with general nondiagonal boundary terms

Yang, Wen-Li; Zhang, Yao-Zhong

doi:10.1016/j.nuclphysb.2006.03.025

T-Q relation and exact solution for the XYZ chain with general nondiagonal boundary terms

Wen-Li Yang
(
- Xibei U. and
- Queensland U.
)
,
Yao-Zhong Zhang
(
- Queensland U.
)

Dec, 2005

4 pages

Published in:

Nucl.Phys.B 744 (2006) 312-329

e-Print:

hep-th/0512154 [hep-th]

DOI:

10.1016/j.nuclphysb.2006.03.025

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Abstract:

We propose that the Baxter's

Q

-operator for the XYZ quantum spin chain with open boundary conditions is given by the

j\to \infty

limit of the corresponding transfer matrix with spin-

j

(i.e.,

(2j+1)

-dimensional) auxiliary space. The associated

T

-

Q

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.

05.50.+q
75.10.Pq
04.20.Jb
Spin chain
Reflection equation
Bethe Ansatz
Q-operator
Fusion hierarchy
Q -operator

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