Abstract

We generalize the effective potential to scalarfield configurations which are proportional to the Hubble parameterof a homogeneous and isotropic background geometry. This may beuseful in situations for which curvature effects are significant.We evaluate the one loop contribution to the Hubble Effective Potentialfor 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.

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