  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.
