We describe classical solutions to the Minkowski space equations of motion of
SU(2) gauge theory coupled to a Higgs field in the spatial spherical ansatz. We
show how to reduce the equations to four equations for four gauge invariant
degrees of freedom which correspond to the massive gauge bosons and the Higgs
particle. The solutions typically dissipate at very early and late times. To
describe the solutions at early and late times, we linearize and decouple the
equations of motion, all the while working only with gauge invariant variables.
We express the change in Higgs winding of a solution in terms of gauge
invariant variables.Comment: latex, 19 pages, no figures (minor changes to text; reference added
