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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2009 Volume 161, Number 2, Pages 154–163 (Mi tmf6428)

This article is cited in 4 papers

Three-coloring statistical model with domain wall boundary conditions: Trigonometric limit

A. V. Razumov, Yu. G. Stroganov

Institute for High Energy Physics, Protvino, Moscow Oblast, Russia

Abstract: We consider a nontrivial trigonometric limit of the three-coloring statistical model with the domain wall boundary conditions. In this limit, we solve the previously constructed functional equations and find a new determinant representation for the partial partition functions.

Keywords: three-coloring model, partition function, trigonometric limit.

Received: 26.03.2009

DOI: 10.4213/tmf6428


 English version:
Theoretical and Mathematical Physics, 2009, 161:2, 1451–1459

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