The eight-vertex model and Painleve VI

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX, submitted to the special issue on Painleve VI, Journal of Physics A

Scientific paper

10.1088/0305-4470/39/39/S15

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,
$\eta=\pi/3$, of the disordered regime.

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