/ 95 08 13 3 v 1 2 5 A ug 1 99 5 Bethe Ansatz Equations for the Broken Z N - Symmetric Model

/ 95 08 35 6 v 1 2 3 A ug 1 99 5 MC / TH 95 / 14 ρ → 4 π in chirally symmetric models

ar X iv : h ep - t h / 96 11 00 5 v 1 1 N ov 1 99 6 SU ( N ) Matrix Difference Equations and a Nested Bethe Ansatz

A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called ”off shell” Bethe Ansatz [1]. The highest weight property of the solutions is proved.

v 1 2 5 A ug 1 99 4 Functional Relations and Analytic Bethe Ansatz for Twisted Quantum Affine

Functional relations are proposed for transfer matrices of solvable vertex models associated with the twisted quantum affine algebras Uq(X (κ) n ) where X (κ) n = A (2) n , D (2) n , E (2) 6 and D (3) 4 . Their solutions are obtained for A (2) n and conjectured for D (3) 4 in the dressed vacuum form in the analytic Bethe ansatz. PACS number: 05.20.-y * Short title: Twisted quantum affine algebr...

ar X iv : c on d - m at / 9 91 02 93 v 2 2 5 O ct 1 99 9 The Exact Solution of the SU ( 3 ) Hubbard Model

The Bethe ansatz equations of the 1-D SU(3) Hubbard model are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model. We first derive the scattering matrix of the SU(3) Hubbard model through the coordinate Bethe ansatz method. Then, with the help quantum inverse scattering method we solve the nested transfer matrix and give the eigenvalues, the eigenvectors a...

ar X iv : c on d - m at / 9 90 83 26 v 1 2 4 A ug 1 99 9 Gaudin Hypothesis for the XY Z Spin Chain

The XY Z spin chain is considered in the framework of the generalized algebraic Bethe ansatz developed by Takhtajan and Faddeev. The sum of norms of the Bethe vectors is computed and expressed in the form of a Jacobian. This result corresponds to the Gaudin hypothesis for the XY Z spin chain.