  We examine scalar quantum electrodynamics in power-law inflation space-time,
and compute the one-loop correction to electric and magnetic field correlators
at superhorizon separations. The effect at one-loop descends from the coupling
of the vector to the charged scalar current which is greatly enhanced due to
gravitational particle production. We conclude that non-perturbative effects
must exist due to (i) secular growth, (ii) spatial running, and (iii) infrared
sensitivity of the one-loop correction to the correlators. Electric and
magnetic correlators exhibit a hierarchy that is due to Faraday's law and
accelerated expansion, and must hold non-perturbatively.
