Algebraic Bethe ansatz for singular solutions
High Energy Physics - Theory
2013-07-10 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Bethe equations for the isotropic periodic spin-1/2 Heisenberg chain with N sites have solutions containing i/2, -i/2 that are singular: both the corresponding energy and the algebraic Bethe ansatz vector are divergent. Such solutions must be carefully regularized. We consider a regularization involving a parameter that can be determined using a generalization of the Bethe equations. These generalized Bethe equations provide a practical way of determining which singular solutions correspond to eigenvectors of the model.
Cite
@article{arxiv.1304.7978,
title = {Algebraic Bethe ansatz for singular solutions},
author = {Rafael I. Nepomechie and Chunguang Wang},
journal= {arXiv preprint arXiv:1304.7978},
year = {2013}
}
Comments
10 pages; v2: refs added; v3: new section on general singular solutions, and more references