  We generalize the effective potential to scalar field configurations which
are proportional to the Hubble parameter of a homogeneous and isotropic
background geometry. This may be useful in situations for which curvature
effects are significant. We evaluate the one loop contribution to the Hubble
Effective Potential for a massless scalar with arbitrary conformal and quartic
couplings, on a background for which the deceleration parameter is constant.
Among other things, we find that inflationary particle production leads to
symmetry restoration at late times.
