Universal amplitude ratios in the 2D four state Potts model

TL;DR

This study uses Monte Carlo simulations to accurately measure universal amplitude ratios in the 2D four-state Potts model, confirming previous theoretical and series expansion results.

Contribution

It provides the first comprehensive Monte Carlo analysis of universal amplitude ratios in the 2D four-state Potts model with controlled systematic errors.

Findings

Results agree with form-factor approach predictions

Consistent with existing low-temperature series data

Demonstrates the effectiveness of Monte Carlo methods for critical phenomena

Abstract

We present a Monte Carlo study of various universal amplitude ratios of the two dimensional q=4 Potts model. We simulated the model close to criticality in both phases taking care to keep the systematic errors, due to finite size effects and logarithmic corrections in the scaling functions, under control. Our results are compatible with those recently obtained using the form-factors approach and with the existing low temperature series for the model.