The saga of the Ising susceptibility

Abstract

We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome $q$ and the modulus $k$ are compared and contrasted. The $\lambda$ generalized correlations $C(M,N;\lambda )$ are defined and explicitly computed in terms of theta functions for $M=N=0,1$.

19 pages, 1 figure

References in corpus (5)

• Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
• High order Fuchsian equations for the square lattice Ising model: ${\tilde{\chi }}^{(5)}$
• The diagonal Ising susceptibility
• Form factor expansion of the row and diagonal correlation functions of the two dimensional Ising model
• Form factor expansions in the 2D Ising model and Painlevé VI

Cited by in corpus (6)

• Form factor expansions in the 2D Ising model and Painlevé VI
• Orientation Reversal and the Chern-Simons Natural Boundary
• The lambda extensions of the Ising correlation functions C(M, N)
• Connection formulas for the lambda generalized Ising correlation functions
• On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model
• Magnetic susceptibility of the square lattice Ising model