Form factor expansion of the row and diagonal correlation functions of the two dimensional Ising model

Abstract

We derive and prove exponential and form factor expansions of the row correlation function and the diagonal correlation function of the two dimensional Ising model.

References in corpus (1)

• Holonomy of the Ising model form factors

Cited by in corpus (16)

• Asymptotic analysis and quantum integrable models
• The importance of the Ising model
• The diagonal Ising susceptibility
• Singularities of $n$-fold integrals of the Ising class and the theory of elliptic curves
• Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results
• Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model
• The saga of the Ising susceptibility
• The Ising correlation $C(M,N)$ for $\nu =-k$
• From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve
• On the diagonal susceptibility of the 2D Ising model
• The lambda extensions of the Ising correlation functions C(M, N)
• Spin-spin correlators on the $\beta$/${\beta }^{\star }$ boundaries in 2D Ising-like models: exact analysis through theory of block Toeplitz determinants
• Connection formulas for the lambda generalized Ising correlation functions
• Factorization of the Ising model form factors
• On General-n Coefficients in Series Expansions for Row Spin-Spin Correlation Functions in the Two-Dimensional Ising Model
• On the Singularities in the Susceptibility Expansion for the Two-Dimensional Ising Model