  We describe an application of the linear $\de$-expansion to the calculation
of correlation functions in SU(2)-Higgs lattice gauge theory. A significant
advantage of the technique is that an infinite volume lattice may be used,
allowing the non-analyticity in certain observables at a phase transition to be
observed directly. We illustrate the approach with a preliminary application to
the 3D SU(2)-Higgs model, as the dimensionally reduced effective theory for the
electroweak standard model at high temperature, and calculate certain gauge
invariant observables near the phase boundaries.
