Non-Gaussian features of primordial magnetic fields in power-law inflation

TL;DR

This paper explores how a specific coupling during power-law inflation can generate non-Gaussian features in primordial magnetic fields, leading to observable cross-correlations with curvature fluctuations that differ from standard predictions.

Contribution

It introduces a model where conformal-invariance violation during inflation produces distinctive non-Gaussian cross-correlations between magnetic fields and curvature perturbations.

Findings

Primordial magnetic fields with nearly flat spectra and nG to pG amplitudes are generated.

Cross-correlation peaks for flattened triangle configurations in momentum space.

The cross-correlation coefficient can be several orders of magnitude larger than standard expectations.

Abstract

We show that a conformal-invariance violating coupling of the inflaton to electromagnetism produces a cross correlation between curvature fluctuations and a spectrum of primordial magnetic fields. According to this model, in the case of power-law inflation, a primordial magnetic field is generated with a nearly flat power spectrum and rms amplitude ranging from nG to pG. We study the cross correlation, a three-point function of the curvature perturbation and two powers of the magnetic field, in real and momentum space. The cross-correlation coefficient, a dimensionless ratio of the three-point function with the curvature perturbation and magnetic field power spectra, can be several orders of magnitude larger than expected as based on the amplitude of scalar metric perturbations from inflation. In momentum space, the cross-correlation peaks for flattened triangle configurations, and is three orders of magnitude larger than the squeezed triangle configuration. These results suggest likely methods for distinguishing the observational signatures of the model.