On zero-remainder conditions in the Bethe ansatz
High Energy Physics - Theory
2021-05-19 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised algorithm based on relations, and solving its minimality issue.
Keywords
Cite
@article{arxiv.1910.07797,
title = {On zero-remainder conditions in the Bethe ansatz},
author = {Etienne Granet and Jesper Lykke Jacobsen},
journal= {arXiv preprint arXiv:1910.07797},
year = {2021}
}
Comments
14 pages. New version: corrected typos, modified abstract and added references