The 3-state Potts model in (2+1) dimensions

Abstract
The 3-state Potts model in (2+1) dimensions is studied using series and Monte Carlo methods. High temperature series for the vacuum energy, mass gap and susceptibility are computed on the square and triangular lattices using linked cluster expansions. Monte Carlo estimates are obtained by the stochastic truncation method. The model is found to undergo a weak first-order transition, as in the Euclidean version of the model.