Thursday, February 14, 2013

1302.3025 (Andrew. P. Kels)

A new solution of the star-triangle relation    [PDF]

Andrew. P. Kels
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.
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