Effective potentials and kink spectra in non-integrable perturbed conformal field theories

TL;DR

This paper investigates how the effective potential and particle spectrum evolve in non-integrable quantum field theories derived from minimal models, revealing symmetry, duality, and limiting behaviors.

Contribution

It extends analysis of effective potentials and spectra to all minimal models deformed by specific operators, generalizing previous work on Ising and related models.

Findings

Identified symmetry and duality properties of the models

Analyzed the evolution of the effective potential and particle spectrum

Determined limiting theories as m approaches infinity

Abstract

We analyze the evolution of the effective potential and the particle spectrum of two-parameter families of non-integrable quantum field theories. These theories are defined by deformations of conformal minimal models M_m by using the operators Phi_{1,3}, Phi_{1,2} and Phi_{2,1}. This study extends to all minimal models the analysis previously done for the classes of universality of the Ising, the Tricritical Ising and the RSOS models. We establish the symmetry and the duality properties of the various models also identifying the limiting theories that emerge when m goes to infinity.