Critical renormalized coupling constants in the symmetric phase of the Ising models

TL;DR

This paper introduces a new finite size scaling Monte Carlo method to accurately compute higher-order renormalized coupling constants in the 3D Ising model, revealing significant differences from previous estimates.

Contribution

A novel Monte Carlo approach for calculating zero-momentum renormalized coupling constants in the Ising model, with results that challenge existing methods.

Findings

New values for six and eight point coupling constants differ from prior estimates.

Method successfully applied to both 2D and 3D Ising systems.

Provides more accurate data for critical phenomena analysis.

Abstract

Using a novel finite size scaling Monte Carlo method, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum in the symmetric phase of the three dimensional Ising system. The results of the 2D Ising system that were directly measured are also reported. Our values of the six and eight point coupling constants are significantly different from those obtained from other methods.