CMB two- and three-point correlation functions from Alfv\'en waves

TL;DR

This paper investigates how Alfvén waves, supported by a stochastic magnetic field, induce non-Gaussian features in the CMB temperature fluctuations through detailed analysis of their correlation functions.

Contribution

It provides detailed derivations of the statistical properties and correlation functions of vorticity perturbations caused by Alfvén waves in the CMB.

Findings

Derived explicit forms of two-point correlation functions.

Derived explicit forms of three-point correlation functions.

Analyzed the impact of Alfvén waves on CMB non-Gaussianity.

Abstract

We study the cosmic microwave background (CMB) temperature fluctuations non-gaussianity due to the vector mode perturbations (Alfv\'en waves) supported by a stochastic cosmological magnetic field. We present detailed derivations of the statistical properties, two and three point correlation functions of the vorticity perturbations and corresponding CMB temperature fluctuations.