The Inflaton Effective Potential for General $\epsilon$

Abstract

We develop an analytic approximation for the coincidence limit of a massive scalar propagator in an arbitrary spatially flat, homogeneous and isotropic geometry. We employ this to compute the one loop corrections to the inflaton effective potential from a quadratic coupling to a minimally coupled scalar. We also extend the Friedmann equations to cover potentials that depend locally on the Hubble parameter and the first slow roll parameter.

arXiv comment21 pages, 9 figures, uses LaTeX 2e. Version 2 revised for publication, including 2 new figures and 6 pages of new text to show, among other things, that our approximations apply as well to plateau potentials

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Cited by in corpus (9)

• Ricci Subtraction for Cosmological Coleman-Weinberg Potentials
• Inflaton Effective Potential from Photons for General $\epsilon$
• Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Inflaton Effective Potential from Fermions for General $\epsilon$
• Photon propagator for inflation in the general covariant gauge
• Reheating with Effective Potentials
• Perturbative Quantum Gravity Induced Scalar Coupling to Electromagnetism
• K-Essence Induced by Derivative Couplings of the Inflaton