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

TL;DR

This paper derives and proves exponential and form factor expansions for the row and diagonal correlation functions in the two-dimensional Ising model, providing a deeper mathematical understanding of these correlations.

Contribution

It introduces new exponential and form factor expansions for key correlation functions in the 2D Ising model, advancing theoretical analysis.

Findings

Explicit exponential expansions derived

Form factor expansions proven rigorously

Enhanced understanding of correlation functions

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.