The Hubble Effective Potential

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

References in corpus (23)

• The Standard Model Higgs boson as the inflaton
• Inflation scenario via the Standard Model Higgs boson and LHC
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Stochastic Inflationary Scalar Electrodynamics
• On the one loop corrections to inflation and the CMB anisotropies
• Leading Log Solution for Inflationary Yukawa
• Quantum Stability of a w < - 1 Phase of Cosmic Acceleration
• On the divergences of inflationary superhorizon perturbations
• On Resumming Inflationary Perturbations beyond One-loop
• Classical approximation to quantum cosmological correlations
• Gravitons Enhance Fermions during Inflation
• The curvature perturbation in a box
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Infrared Propagator Corrections for Constant Deceleration
• Effects of particle production during inflation
• Two Loop Scalar Bilinears for Inflationary SQED
• Fermion Mass Generation in de Sitter Space
• Quantum radiative corrections to slow-roll inflation
• On the Physical Significance of Infra-red Corrections to Inflationary Observables
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Quantum Cosmological Correlations in an Inflating Universe: Can fermion and gauge fields loops give a scale free spectrum?
• A Simplified Quantum Gravitational Model of Inflation
• Cosmology is not a Renormalization Group Flow

Cited by in corpus (25)

• Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic Approach
• De Sitter Breaking through Infrared Divergences
• Perturbative Quantum Gravity Comes of Age
• Observational constraints on quantum decoherence during inflation
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• A Completely Regular Quantum Stress Tensor with $w<-1$
• The 1-loop effective potential for the Standard Model in curved spacetime
• The Graviton Propagator in de Donder Gauge on de Sitter Background
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
• Symmetry breaking and the Goldstone theorem in de Sitter space
• Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration
• Late time solution for interacting scalar in accelerating spaces
• Light scalars on cosmological backgrounds
• The Inflaton Effective Potential for General $\epsilon$
• Radiative Corrections from Heavy Fast-Roll Fields during Inflation
• Inflaton Effective Potential from Photons for General $\epsilon$
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Abelian Higgs model in power-law inflation: the propagators in the unitary gauge
• Inflaton Effective Potential from Fermions for General $\epsilon$
• Photon propagator for inflation in the general covariant gauge
• Causality Implies Inflationary Back-Reaction
• Adiabatic regularization of functional determinants in cosmology and radiative corrections during inflation
• Sub-Leading Logarithms for Scalar Potential Models on de Sitter