A lattice Monte Carlo study of Inverse Symmetry Breaking in a two-scalar model in three dimensions

Abstract

We carry a Monte Carlo study of the coupled two-scalar $\lambda {\varphi }_1^2{\varphi }_2^2$ model in three dimensions. We find no trace of Inverse Symmetry Breaking in the region of negative $\lambda$'s for which the one-loop effective potential predicts this phenomenon. Moreover, for $\lambda$'s negative enough, but still in the stability region for the potential, one of the transitions turns out to be of first order, both for zero and finite temperature.

Comments: 23 pages, 7 figures included, Latex, epsfig. Minor changes in Sec.3 and in the conclusions. In press on Nuc.Phys.B