Holonomy of the Ising model form factors

DOI10.1088/1751-8113/40/1/005zbMath1107.82007arXivmath-ph/0609074OpenAlexW3103174466MaRDI QIDQ3420456

S. Hassani, William P. Orrick, Nadjah Zenine, Salah Boukraa, Barry M. McCoy, Jean-Marie Maillard

Publication date: 2 February 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609074

zbMATH Keywords

Fuchsian differential equationPainlevé equationIsing model

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Elliptic functions and integrals (33E05) Painlevé-type functions (33E17)

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Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their λ Generalization ⋮ Connection formulas for the $\lambda$ generalized Ising correlation functions ⋮ Form factor expansions in the 2D Ising model and Painlevé VI ⋮ A Fuchsian matrix differential equation for Selberg correlation integrals ⋮ Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model ⋮ The Ising correlation C(M, N) for ν = −k ⋮ Resurgence, Painlevé equations and conformal blocks ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics ⋮ Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T _c and their lambda extensions ⋮ The lambda extensions of the Ising correlation functions C(M,N)

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