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

1993/12/31 by Changrim Ahn, CHANGRIM AHN, Minoru Horibe +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Finite Group Theory Research #Random Matrices and Applications #cond-mat #hep-th

paper · pdf · doi:10.1142/s0217984994001655

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

arxiv created 1994/09/30 · arxiv updated 2009/11/30

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.

Cited by

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

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