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

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 deconfinedquarks. We study numerically the evolution of the mass spectrumof this model over its whole parameter range, obtaining a pattern of confinement, particle decayand phase transitions which confirms recent predictions.