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2024

Scalar perturbations from inflation in the presence of gauge fields

Durrer, R., von Eckardstein, R., Garg, Deepen et al.

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We study how Abelian-gauge-field production during inflation affects scalar perturbations in the case when the gauge field interacts with the inflaton directly (by means of generic kinetic and axial couplings) and via gravity.

The homogeneous background solution is defined by self-consistently taking into account the backreaction of the gauge field on the evolution of the inflaton and the scale factor.
For the perturbations on top of this background, all possible scalar contributions coming from the inflaton, the metric, and the gauge field are considered.
We derive a second-order differential equation for the curvature perturbation, $\zeta$, capturing the impact of the gauge field, both on the background dynamics and on the evolution of scalar perturbations.

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