Antiferromagnetic O(N) models in four dimensions

Abstract

We study the antiferromagnetic O(N) model in the F_4 lattice. Monte Carlo simulations are applied for investigating the behavior of the transition for N=2,3. The numerical results show a first order nature but with a large correlation length. The $N\to \infty$ limit is also considered with analytical methods.

Comments: 14 pages, 3 postscript figures