A new solution of the star-triangle relation

Andrew P. Kels

doi:10.1088/1751-8113/47/5/055203

A new solution of the star-triangle relation

Andrew P. Kels^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

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 an edge of the lattice.

Original language	English
Article number	055203
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	5
DOIs	https://doi.org/10.1088/1751-8113/47/5/055203
Publication status	Published - 7 Feb 2014

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title = "A new solution of the star-triangle relation",

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 an edge of the lattice.",

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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 - https://www.scopus.com/pages/publications/84892938587

U2 - 10.1088/1751-8113/47/5/055203

DO - 10.1088/1751-8113/47/5/055203

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VL - 47

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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A new solution of the star-triangle relation

Abstract

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