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

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

1993-12-28

arxiv.org/abs/hep-th/9312199v3

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217984994001655

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.

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