Twisting singular solutions of Bethe's equations
Mathematical Physics
2015-06-23 v3 High Energy Physics - Theory
math.MP
Abstract
The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.
Keywords
Cite
@article{arxiv.1409.7382,
title = {Twisting singular solutions of Bethe's equations},
author = {Rafael I. Nepomechie and Chunguang Wang},
journal= {arXiv preprint arXiv:1409.7382},
year = {2015}
}
Comments
10 pages; v2: references added; v3: introduction expanded, and more references added