Universality and massive excitations in 3d 3-state Potts model

TL;DR

This paper investigates the mass spectrum of the 3d 3-state Potts model in different critical regimes, comparing it with universality predictions and gauge theory spectra to understand its excitations and phase transition behavior.

Contribution

It provides a detailed analysis of the mass spectrum near critical points and compares it with universality and gauge theory predictions, revealing insights into the model's excitations.

Findings

Mass ratios near the Ising critical point agree with universality predictions.

A specific mass ratio near the first order transition is determined and compared.

The spectrum shows similarities with screening masses in (3+1)d SU(3) gauge theory.

Abstract

The mass spectrum of the 3d 3-state Potts model is considered in the broken phase (a) near the second order Ising critical point in the temperature-magnetic field plane and (b) near the weakly first order transition point at zero magnetic field. In the case (a), the mass spectrum is compared with the prediction from universality of mass ratios in the 3d Ising class; in the case (b) a mass ratio is determined to be compared with the corresponding one in the spectrum of screening masses of the (3+1)d SU(3) pure gauge theory at finite temperature in the deconfined phase near the transition.