The Perturbative Calculation of the Spin-Spin Correlation Function in the Two Dimensional Ising Model
B. Mikhak, A.M. Zarkesh
TL;DR
This paper introduces a perturbative method based on variational formulas to calculate the short-distance spin-spin correlation function in the 2D Ising model, with results matching known lattice scaling limits.
Contribution
It presents a novel perturbative approach using variational formulas for calculating operator product coefficients in the 2D Ising model.
Findings
Third-order calculations agree with known lattice results
Method effectively computes short-distance expansions
Provides a new perturbative framework for correlation functions
Abstract
Using the variational formula for operator product coefficients a method for perturbative calculation of the short-distance expansion of the Spin-Spin correlation function in the two dimensional Ising model is presented. Results of explicit calculation up to third order agree with known results from the scaling limit of the lattice calculation.
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