One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background

Abstract

We use the one loop vacuum polarization induced by scalar quantum electrodynamics to compute the electric and magnetic fields of point charges and magnetic dipoles on a locally de Sitter background. Our results are consistent with the physical picture of an inflating universe filling with a vast sea of charged particles as more and more virtual infrared scalar are ripped out of the vacuum. One consequence is that vacuum polarization quickly becomes nonperturbatively strong. Our computation employs the Schwinger-Keldysh effective field equations and is done in flat, conformal coordinates. Results are also obtained for static coordinates.

35 pages, no figures, uses LaTeX 2e

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• Scalar Contribution to the Graviton Self-Energy during Inflation
• Nonlocal Metric Realizations of MOND
• Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter
• Scalar and fermionic vacuum currents in de Sitter spacetime with compact dimensions
• Representing the Vacuum Polarization on de Sitter
• Electromagnetic Casimir effect for conducting plates in de Sitter spacetime
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Causality Implies Inflationary Back-Reaction
• Quantum fields in curved space-time, semiclassical gravity, quantum gravity phenomenology, and analogue models: Report on session D4 at GR20