The algebraic Bethe ansatz for the Izergin–Korepin model with open boundary conditions

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• 作者：Li ; Guang-Liang ; Shi ; Kang-Jie ; Yue ; Rui-Hong
• 关键词：75.10.J ; 05.20 ; 05.30 ; Izergin&ndash ; Korepin model ; Algebraic Bethe ansatz ; Open boundary
• 刊名：Nuclear Physics B
• 出版年：2003
• 期刊代码：45_05503213
• 类别：ph
• 出版时间：October 27, 2003
• 卷：670
• 期：3
• 页码：401-438
• 文件大小：362 K

摘要

We present the procedure of exactly solving the Izergin–Korepin model with open boundary conditions by using the algebraic Bethe ansatz, which include constructing the multi-particle state and achieving the eigenvalue of the transfer matrix and corresponding Bethe equations. We give a proof about our conclusions on the multi-particle state based on an assumption. When the model is U_q(su(2)) quantum invariant, our results agree with that obtained by analytic Bethe ansatz method.