Electrodynamic Effects of Inflationary Gravitons

Abstract

We calculate the one-loop corrections from inflationary gravitons to the electromagnetic fields of a point charge and a point magnetic dipole on a locally de Sitter space background. Results are obtained both for an observer at rest in co-moving coordinates, whose physical distance from the sources increases with the expanding universe, and for an observer at rest in static coordinates, whose physical distance from the sources is constant. The fields of both sources show the de Sitter analogs of the fractional $G/r^2$ corrections which occur in flat space, but there are also some fractional $G{H}^2$ corrections due to the scattering of virtual photons from the vast ensemble of infrared gravitons produced by inflation. The co-moving observer perceives the magnitude of the point charge to increase linearly with co-moving time and logarithmically with the co-moving position, however, the magnetic dipole shows only a negative logarithmic spatial variation. The static observer perceives no secular change of the point charge but he does report a secular enhancement of the magnetic dipole moment.

20 pages, 3 figures, uses RevTeX4.1. Version 2 revised for publication with many typos corrected

References in corpus (10)

• Stochastic Inflationary Scalar Electrodynamics
• Leading Log Solution for Inflationary Yukawa
• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Two Loop Scalar Bilinears for Inflationary SQED
• Fermion Mass Generation in de Sitter Space
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• A Maximally Symmetric Vector Propagator
• Scalar Field Equations from Quantum Gravity during Inflation
• Correlation functions of magnon and spike
• Covariant Vacuum Polarizations on de Sitter Background

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• A Caveat on Building Nonlocal Models of Cosmology
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• How Inflationary Gravitons Affect the Force of Gravity
• The Graviton Tail almost Completely Wags the Dog
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• Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
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• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
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• Big Steve and the State of the Universe
• Causality Implies Inflationary Back-Reaction
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