Effects of a primordial magnetic field with log-normal distribution on the cosmic microwave background

Abstract

We study the effect of primordial magnetic fields (PMFs) on the anisotropies of the cosmic microwave background (CMB). We assume the spectrum of PMFs is described by log-normal distribution which has a characteristic scale, rather than power-law spectrum. This scale is expected to reflect the generation mechanisms and our analysis is complementary to previous studies with power-law spectrum. We calculate power spectra of energy density and Lorentz force of the log-normal PMFs, and then calculate CMB temperature and polarization angular power spectra from scalar, vector, and tensor modes of perturbations generated from such PMFs. By comparing these spectra with WMAP7, QUaD, CBI, Boomerang, and ACBAR data sets, we find that the current CMB data set places the strongest constraint at $k\simeq 10^{-2.5}$ Mpc${}^{-1}$ with the upper limit $B\lesssim 3$ nG.

14 pages, 6 figures

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Cited by in corpus (7)

• Cosmic Magnetism in Centimeter and Meter Wavelength Radio Astronomy
• Effects of power law primordial magnetic field on big bang nucleosynthesis
• CMB with the background primordial magnetic field
• Reduced bispectrum seeded by helical primordial magnetic fields
• Evolution of the cosmic matter density field with a primordial magnetic field
• Constraints on the multi-lognormal magnetic fields from the observations of the cosmic microwave background and the matter power spectrum
• Impact of a primordial magnetic field on cosmic microwave background $B$ modes with weak lensing