TY - JOUR
T1 - A new solution of the star-triangle relation
AU - Kels, Andrew P.
PY - 2014/2/7
Y1 - 2014/2/7
N2 - 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 an edge of the lattice.
AB - 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 an edge of the lattice.
KW - Yang-Baxter equation
KW - star-triangle relation
KW - statistical mechanics
UR - http://www.scopus.com/inward/record.url?scp=84892938587&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/47/5/055203
DO - 10.1088/1751-8113/47/5/055203
M3 - Article
SN - 1751-8113
VL - 47
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 5
M1 - 055203
ER -