English

On the algebraic Bethe ansatz: Periodic boundary conditions

Exactly Solvable and Integrable Systems 2011-02-16 v3 High Energy Physics - Theory

Abstract

In this paper, the algebraic Bethe ansatz with periodic boundary conditions is used to investigate trigonometric vertex models associated with the fundamental representations of the non-exceptional Lie algebras. This formulation allow us to present explicit expressions for the eigenvectors and eigenvalues of the respective transfer matrices.

Cite

@article{arxiv.nlin/0602003,
  title  = {On the algebraic Bethe ansatz: Periodic boundary conditions},
  author = {A. Lima-Santos},
  journal= {arXiv preprint arXiv:nlin/0602003},
  year   = {2011}
}

Comments

36 pages, LaTex, Minor Revision