New Developments in the Eight Vertex Model
Statistical Mechanics
2007-05-23 v3 High Energy Physics - Theory
Abstract
We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the eight vertex model has some eigenvectors which are not eigenvectors of the spin reflection operator and conjecture a new functional equation for Q(v) which both contains the Bethe equation that gives the eigenvalues of the transfer matrix and computes the degeneracies of these eigenvalues.
Keywords
Cite
@article{arxiv.cond-mat/0207177,
title = {New Developments in the Eight Vertex Model},
author = {Klaus Fabricius and Barry M. McCoy},
journal= {arXiv preprint arXiv:cond-mat/0207177},
year = {2007}
}
Comments
12 pages. Final version which will be published in J. Stat. Phys