Author:
Li Guang-Liang,Cao Junpeng,Xue Panpan,Xin Zhi-Rong,Hao Kun,Yang Wen-Li,Shi Kangjie,Wang Yupeng
Abstract
Abstract
The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C
2) Lie algebra. By using the fusion technique, we obtain the complete operator product identities among the fused transfer matrices. These relations, together with some asymptotic behaviors and values of the transfer matrices at certain points, enable us to determine the eigenvalues of the transfer matrices completely. For the periodic boundary condition case, we recover the same T − Q relations obtained via conventional Bethe ansatz methods previously, while for the off-diagonal boundary condition case, the eigenvalues are given in terms of inhomogeneous T − Q relations, which could not be obtained by the conventional Bethe ansatz methods. The method developed in this paper can be directly generalized to generic sp(2n) (i.e., C
n
) integrable model.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference35 articles.
1. R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, New York U.S.A. (1982).
2. C.-N. Yang, Some exact results for the many body problems in one dimension with repulsive delta function interaction, Phys. Rev. Lett.
19 (1967) 1312 [INSPIRE].
3. F.C. Alcaraz, M.N. Barber, M.T. Batchelor, R.J. Baxter and G.R.W. Quispel, Surface Exponents of the Quantum XXZ, Ashkin-Teller and Potts Models, J. Phys.
A 20 (1987) 6397 [INSPIRE].
4. E.K. Sklyanin, Boundary Conditions for Integrable Quantum Systems, J. Phys.
A 21 (1988) 2375 [INSPIRE].
5. V.E. Korepin, N.M. Bogoliubov and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Function, Cambridge University Press, Cambridge U.K. (1993).
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