Cosmological Coleman-Weinberg Potentials and Inflation

Abstract

We consider an additional fine-tuning problem which afflicts scalar-driven models of inflation. The problem is that successful reheating requires the inflaton be coupled to ordinary matter, and quantum fluctuations of this matter induces Coleman-Weinberg potentials which are not Planck-suppressed. Unlike the flat space case, these potentials depend upon a still-unknown, nonlocal functional of the metric which reduces to the Hubble parameter for de Sitter. Such a potential cannot be completely subtracted off by any local action. In a simple model we numerically consider one possible subtraction scheme in which the correction is locally subtracted at the beginning of inflation. For fermions the effect is to make the universe approach de Sitter with a smaller Hubble parameter. For gauge bosons the effect is to make inflation end almost instantly unless the gauge charge is unacceptably small.

11 pages, 3 figures, uses LaTeX2e Version 2 extensively revised for publication, contains a new section connecting reheating and fine tuning and an extended discussion of the late time de Sitter phase approached by all fermion models

References in corpus (6)

• Stochastic Inflationary Scalar Electrodynamics
• Leading Log Solution for Inflationary Yukawa
• Inflationary schism after Planck2013
• Infrared Propagator Corrections for Constant Deceleration
• Reheating temperature from the CMB
• Reheating Closed String Inflation

Cited by in corpus (15)

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• Ricci Subtraction for Cosmological Coleman-Weinberg Potentials
• Non-perturbative analysis for a massless minimal quantum scalar with $V(\varphi )=\lambda {\varphi }^4/4!+\beta {\varphi }^3/3!$ in the inflationary de Sitter spacetime
• The Inflaton Effective Potential for General $\epsilon$
• Photon propagator in de Sitter space in the general covariant gauge
• Inflaton Effective Potential from Photons for General $\epsilon$
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Inflaton Effective Potential from Fermions for General $\epsilon$
• Resummation of local and non-local scalar self energies via the Schwinger-Dyson equation in de Sitter spacetime
• The Case for Nonlocal Modifications of Gravity
• Reheating with Effective Potentials
• Stabilization of spherically symmetric static Boson stars by Coleman-Weinberg self-interaction potential
• K-Essence Induced by Derivative Couplings of the Inflaton