We investigate the three-dimensional Georgi-Glashow model with a Chern-Simo
ns term. We find that there exist complex monopole solutions of finite acti
on. They dominate the path integral and disorder the Higgs vacuum, but elec
tric charges are not confined. Subtleties in the gauge-fixing procedure in
the path integral and issues related to Gribov copies are noted. (C) 1999 E
lsevier Science B.V.