  We calculate the change in the ultraviolet behaviour of the vortex operator
due to the presence of dynamical Higgs field in both 2+1 dimensional QED and
the 2+1 dimensional Georgi-Glashow model. We find that in the QED case the
presence of the Higgs field leads at the one loop level to power like
correction to the propagator of the vortex operator. On the other hand, in the
Georgi-Glashow model, the adjoint Higgs at one loop has no affect on the vortex
propagator. Thus, as long as the mass of the Higgs field is much larger than
the gauge coupling constant, the ultraviolet behaviour of the vortex operator
in the Georgi-Glashow model is independent of the Higgs mass.
