Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder

Details Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder

2001-08-03

arxiv.org/abs/hep-th/0108015v2

Adv.Theor.Math.Phys. 5 (2002) 909-922

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, published version (references and comment on boundary conditions added)

Scientific paper

We derive determinant representations and nonlinear differential equations
for the scaled 2-point functions of the 2D Ising model on the cylinder. These
equations generalize well-known results for the infinite lattice (Painlev\'e
III equation and the equation for the $\tau$-function of Painlev\'e V).

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