Kallen-Lehman approach to 3D Ising model
Fabrizio Canfora
TL;DR
This paper introduces a novel Kallen-Lehman inspired approach to approximate the free energy of the 3D Ising model, aiming to match numerical data with few parameters and exploring potential extensions to spin glasses.
Contribution
It proposes a new analytical scheme based on quantum field theory concepts to model the 3D Ising system, offering a different perspective from traditional methods.
Findings
Derived a formula for free energy with few parameters
Potential to fit numerical data effectively
Discussed extension to spin glass systems
Abstract
A "Kallen-Lehman" approach to Ising model, inspired by quantum field theory a la Regge, is proposed. The analogy with the Kallen-Lehman representation leads to a formula for the free-energy of the 3D model with few free parameters which could be matched with the numerical data. The possible application of this scheme to the spin glass case is shortly discussed.
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