Effects of primordial magnetic fields on CMB

TL;DR

This paper explores how primordial magnetic fields originating in the early universe could influence the cosmic microwave background, providing insights into their statistical properties and effects on CMB anisotropies.

Contribution

It presents a summary of the statistical properties of primordial magnetic fields and models their impact on CMB anisotropies using cosmological perturbation theory.

Findings

Derived the power spectrum of primordial magnetic fields.

Analyzed the effects of PMFs on CMB anisotropies.

Provided a framework for future observational constraints.

Abstract

The origin of large-scale magnetic fields is an unsolved problem in cosmology. In order to overcome, a possible scenario comes from the idea that these fields emerged from a small primordial magnetic field (PMF), produced in the early universe. This field could lead to the observed large-scales magnetic fields but also, would have left an imprint on the cosmic microwave background (CMB). In this work we summarize some statistical properties of this PMFs on the FLRW background. Then, we show the resulting PMF power spectrum using cosmological perturbation theory and some effects of PMFs on the CMB anisotropies.