A universal amplitude ratio for the q<4 Potts model from a solvable lattice model

TL;DR

This paper determines a universal amplitude ratio for the 2D q≤4 Potts model using the dilute A lattice model, highlighting their connection through perturbed conformal field theory.

Contribution

It introduces a method to compute the universal amplitude ratio for the Potts model via the dilute A model, clarifying their theoretical relationship.

Findings

Calculated the universal amplitude ratio $R_{\xi}$ for q≤4 Potts model

Established the link between Potts and dilute A models through perturbed conformal field theory

Provided insights into the universality and critical behavior of the models

Abstract

The universal amplitude ratio $R_{\xi}$ for the ($q\leqslant 4$)-state Potts model in two dimensions is determined by using results for the dilute A model in regime 1. The nature of the relationship between the Potts model and the dilute A model, both related to $\phi_{2,1}$ perturbed conformal field theory, is discussed.