Dynamics of super-horizon photons during inflation with vacuum polarization

Abstract

We study asymptotic dynamics of photons propagating in the polarized vacuum of a locally de Sitter Universe. The origin of the vacuum polarization is fluctuations of a massless, minimally coupled, scalar, which we model by the one-loop vacuum polarization tensor of scalar electrodynamics. We show that late time dynamics of the electric field on superhorizon scales approaches that of an Airy oscillator. The magentic field amplitude, on the other hand, asymptotically approaches a nonvanishing constant (plus an exponentially small oscillatory component), which is suppressed with respect to the initial (vacuum) amplitude. This implies that the asymptotic photon dynamics is more intricate than that of a massive photon obeying the local Proca equation.

16 pages, 2 figures

References in corpus (5)

• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Photon mass from inflation
• One Loop Vaccum Polarization in a Locally de Sitter Background
• Natural Magnetogenesis from Inflation
• Vacuum polarization and photon mass in inflation

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