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

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dc.creatorLisovyy, O.
dc.date2001-08-03
dc.date2007-08-27
dc.date.accessioned2026-07-07T08:25:57Z
dc.date.available2026-07-07T08:25:57Z
dc.descriptionWe 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).
dc.description12 pages, published version (references and comment on boundary conditions added)
dc.identifierhttps://arxiv.org/abs/hep-th/0108015
dc.identifierhttp://arxiv.org/abs/hep-th/0108015
dc.identifierAdv.Theor.Math.Phys. 5 (2002) 909-922
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136788
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder
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