English

A new solution of the star-triangle relation

Mathematical Physics 2014-01-21 v2 Statistical Mechanics High Energy Physics - Theory math.MP

Abstract

We obtain a new solution to the star-triangle relation for an Ising-type model with two kinds of spin variables at each lattice site, taking continuous real values and arbitrary integer values, respectively. The Boltzmann weights are manifestly real and positive. They are expressed through the Euler gamma function and depend on sums and differences of spins at the ends of the edge.

Keywords

Cite

@article{arxiv.1302.3025,
  title  = {A new solution of the star-triangle relation},
  author = {Andrew. P. Kels},
  journal= {arXiv preprint arXiv:1302.3025},
  year   = {2014}
}

Comments

6 pages, 1 figure; v2: corrected typos, minor changes and improvements to text

R2 v1 2026-06-21T23:25:17.920Z