APPROXIMATE UNIVERSALITY AT A 1ST-ORDER TRANSITION - THE 3-STATE POTSMODEL IN (3+1) DIMENSIONS

Both 'high-' and 'low-temperature' perturbation series are used to loc ate and characterize the first-order transition in the three-state Pot ts model in (3+1) dimensions on the simple-cubic, body-centred cubic a nd face-centred cubic lattices. Estimates are presented for the vacuum energy, 'latent heat', magnetization, susceptibility and mass gap at the transition. The results show a remarkable degree of universality b etween the different lattices, and a 'law of corresponding states' is followed very closely.