Physical and unphysical effects in the mixed SU(2)/SO(3) gauge theory

Abstract

We investigate possible problems with universality in lattice gauge theory where a mixed fundamental SU(2) and SO(3)-invariant gauge group is used: the (second order) finite temperature phase transition becomes involved with first order effects with increased SO(3) coupling, and this first order effect has a noticeable coupling dependence for small lattices. We produce evidence that the first order transition is essentially bulk in nature as generally believed, and that the finite temperature effects start to separate out from the lower end of the bulk effects for a lattice of 8 sites in the finite temperature direction. We strengthen our picture of the first order effects as artefacts by using an improved action: this shifts the end point of the first order line away from the fundamental SU(2) axis.