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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136788We 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 (Painlevé III equation and the equation for the $τ$-function of Painlevé V).12 pages, published version (references and comment on boundary conditions added)High Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable SystemsNonlinear differential equations for the correlation functions of the 2D Ising model on the cylindertext