Relation between Yang-Baxter and Pair Propagation Equations in 16-Vertex Models

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.

11 pages, TEZU-F-059 and EWHA-TH-002

Cited by in corpus (1)

• The 16-vertex model and its even and odd 8-vertex subcases on the square lattice