Relation between Yang-Baxter and Pair Propagation Equations in 16-Vertex Models
High Energy Physics - Theory
2009-10-22 v3 Condensed Matter
Abstract
We study a relation between two integrability conditions, namely the Yang-Baxter and the pair propagation equations, in 2D lattice models. While the two are equivalent in the 8-vertex models, discrepancies appear in the 16-vertex models. As explicit examples, we find the exactly solvable 16-vertex models which do not satisfy the Yang-Baxter equations.
Keywords
Cite
@article{arxiv.hep-th/9312199,
title = {Relation between Yang-Baxter and Pair Propagation Equations in 16-Vertex Models},
author = {Changrim Ahn and Minoru Horibe and Kazuyasu Shigemoto},
journal= {arXiv preprint arXiv:hep-th/9312199},
year = {2009}
}
Comments
11 pages, TEZU-F-059 and EWHA-TH-002