A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model

TL;DR

This paper analyzes Monte Carlo and series expansion data for the 2D 4-state Potts model near criticality, focusing on logarithmic corrections and universal amplitude ratios, providing refined estimates and raising new questions.

Contribution

It introduces a numerical approach to account for logarithmic corrections in critical amplitude determination for the 2D 4-state Potts model.

Findings

Accurate estimates of universal amplitude ratios are provided.

Logarithmic corrections significantly influence critical amplitude calculations.

The results challenge previous understandings of amplitude ratios in this model.

Abstract

Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed and an approach is proposed in order to account numerically for these corrections in the determination of critical amplitudes. Accurate estimates of universal amplitude ratios $A_+/A_-$, $\Gamma_+/\Gamma_-$, $\Gamma_T/\Gamma_-$ and $R_C^\pm$ are given, which arouse new questions with respect to previous works.