Particle spectrum of the 3-state Potts field theory: a numerical study

TL;DR

This paper numerically analyzes the particle spectrum of the 2D three-state Potts field theory under various perturbations, revealing confinement, decay, and phase transition patterns that support recent theoretical predictions.

Contribution

It provides a comprehensive numerical study of the mass spectrum evolution in the three-state Potts field theory, confirming theoretical predictions about confinement and phase transitions.

Findings

Confirmed confinement and deconfinement phases

Observed particle decay processes

Mapped phase transition patterns

Abstract

The three-state Potts field theory in two dimensions with thermal and magnetic perturbations provides the simplest model of confinement allowing for both mesons and baryons, as well as for an extended phase with deconfined quarks. We study numerically the evolution of the mass spectrum of this model over its whole parameter range, obtaining a pattern of confinement, particle decay and phase transitions which confirms recent predictions.