Inflaton Effective Potential from Photons for General $\epsilon$

Abstract

We accurately approximate the contribution that photons make to the effective potential of a charged inflaton for inflationary geometries with an arbitrary first slow roll parameter $\epsilon$. We find a small, nonlocal contribution and a numerically larger, local part. The local part involves first and second derivatives of $\epsilon$, coming exclusively from the constrained part of the electromagnetic field which carries the long range interaction. This causes the effective potential induced by electromagnetism to respond more strongly to geometrical evolution than for either scalars, which have no derivatives, or spin one half particles, which have only one derivative. For $\epsilon =0$ our final result agrees with that of Allen on de Sitter background, while the flat space limit agrees with the classic result of Coleman and Weinberg.

arXiv comment42 pages, 15 figures, uses LaTeX2e. Version 2 slightly revised for publication, now 44 pages

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Cited by in corpus (9)

• Photon propagator in de Sitter space in the general covariant gauge
• The Inflaton Effective Potential 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