Minimal duality breaking in the Kallen-Lehman approach to 3D Ising model: a numerical test

TL;DR

This paper numerically tests a minimal duality breaking approach in the Kallen-Lehman model for the 3D Ising model, achieving good agreement with Monte Carlo data across temperature ranges.

Contribution

It demonstrates that a minimal duality breaking in the Kallen-Lehman approach can accurately reproduce Monte Carlo results for the 3D Ising model.

Findings

Good agreement with Monte Carlo results at high temperatures

Satisfactory agreement at low and near critical temperatures

Potential for further improvement with more general duality breaking

Abstract

A Kallen-Lehman approach to 3D Ising model is analyzed numerically both at low and high temperature. It is shown that, even assuming a minimal duality breaking, one can fix three parameters of the model to get a very good agreement with the MonteCarlo results at high temperatures. With the same parameters the agreement is satisfactory both at low and near critical temperatures. How to improve the agreement with MonteCarlo results by introducing a more general duality breaking is shortly discussed.