Super-horizon resonant magnetogenesis during inflation

TL;DR

This paper introduces a new super-horizon resonant magnetogenesis mechanism during inflation that amplifies primordial magnetic fields without significant back-reaction, using a conformal-symmetry-breaking coupling and a gauge sector mass term.

Contribution

It presents a novel inflationary magnetogenesis model that overcomes previous limitations by enabling super-horizon amplification with a positive-definite coupling and a gauge field mass term.

Findings

Magnetic fields are exponentially amplified on super-horizon scales.

The model is compatible with current observational constraints.

The gauge field mass term can significantly affect the energy-momentum tensor.

Abstract

We propose a novel mechanism for significantly enhancing the amplitude of primordial electromagnetic fields during inflation. Similar to existing proposals, our idea is based on parametric resonance effects due to conformal-symmetry-breaking coupling of a gauge field and the inflaton. Our proposed scenario, however, significantly differs from previously studied models, and avoids their shortcomings. We, particularly, construct a viable system where the gauge field is exponentially amplified on super-horizon scales, therefore evading the no-go theorem formulated on the basis of widely encountered drastic back-reaction of the magnetic field energy on the inflationary background. We argue that in order for the resonant scenario to work with a bounded and positive-definite coupling function, a mass term for the gauge sector is required. We compute the spectrum of the produced magnetic fields and demonstrate the compatibility with current observational constraints. We demonstrate that while the magnetic fields do not noticeably back-react on the inflationary background, the non-zero mass term can contribute significantly to the total energy-momentum tensor. We point out the parameter space where the latter issue is absent.