First order phase transitions and integrable field theory. The dilute q-state Potts model

TL;DR

This paper analyzes the two-dimensional dilute q-state Potts model at first order phase transitions, deriving exact scattering theory and form factors to approximate correlation functions and critical properties.

Contribution

It introduces the exact scattering theory for the dilute q-state Potts model at first order transitions and computes form factors for key operators, advancing understanding of its critical behavior.

Findings

Computed two-kink form factors for dilution, thermal, and spin operators

Provided approximations for correlation functions and critical parameters

Evaluated central charge and scaling dimensions along the tricritical line

Abstract

We consider the two-dimensional dilute q-state Potts model on its first order phase transition surface for 0<q\leq 4. After determining the exact scattering theory which describes the scaling limit, we compute the two-kink form factors of the dilution, thermal and spin operators. They provide an approximation for the correlation functions whose accuracy is illustrated by evaluating the central charge and the scaling dimensions along the tricritical line.