The eight-vertex model and Painleve VI
High Energy Physics - Theory
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation with the special solutions of the non-stationary Lame equation. The latter appeared in the study of the ground state properties of Baxter's solvable eight-vertex lattice model at a particular point, , of the disordered regime.
Cite
@article{arxiv.hep-th/0602122,
title = {The eight-vertex model and Painleve VI},
author = {Vladimir V Bazhanov and Vladimir V Mangazeev},
journal= {arXiv preprint arXiv:hep-th/0602122},
year = {2009}
}
Comments
9 pages, LaTeX, submitted to the special issue on Painleve VI, Journal of Physics A