Unified algebraic Bethe ansatz for two-dimensional lattice models.
We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the nonexceptional A(2)(2r), A(2)(2r-1), B(1)(r), C(1)(r), D(1)(r+1), and D(2)(r+1) Lie algebras. We recast the Yang-Baxter algebra in terms of different commutation relations between creation, annihilation, and diagonal fields. The solution of the D(2)(r+1) model is based on an interesting 16-vertex model, which is solvable without recourse to a Bethe ansatz.
Martins
M J
MJ
Departamento de Física, Universidade Federal de São Carlos, C.P. 676, 13565-905 São Carlos, São Paulo, Brazil.