The Hubble Effective Potential
arXiv:0904.1151 · doi:10.1088/1475-7516/2009/05/003
Abstract
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.
32 pages, 6 figures, version 2 published in JCAP with some typoes corrected and two additional references