CMB two- and three-point correlation functions from Alfvén waves

Details CMB two- and three-point correlation functions from Alfvén waves CMB two- and three-point correlation functions from Alfvén waves

2010-10-21

arxiv.org/abs/1010.4543v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages

Scientific paper

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 derive the statistical properties of the induced vorticity perturbations and show that the rotational symmetry breaking results in a deviation from the isotropic two-point correlation function. We also present the two- and three-point correlation functions of the CMB temperature anisotropy and in particular show that in addition to diagonal terms they contain off diagonal elements as well.

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