Constraints on the Primordial Magnetic Field from ${\sigma }_8$

Abstract

A primordial magnetic field (PMF) can affect the evolution of density field fluctuations in the early universe.In this paper we constrain the PMF amplitude $B_{\lambda }$ and power spectral index $n_{\mathrm{B}}$ by comparing calculated density field fluctuations with observational data, i.e. the number density fluctuation of galaxies.We show that the observational constraints on cosmological density fluctuations, as parameterized by ${\sigma }_8$, lead to strong constraints on the amplitude and spectral index of the PMF.

11 pages, 1 figure, accepted for publication as Phys. Rev. D

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• The Search for a Primordial Magnetic Field
• The influence of magnetic fields on the thermodynamics of primordial star formation
• Phase Transition Generated Cosmological Magnetic Field at Large Scales
• Introduction to Big Bang Nucleosynthesis and Modern Cosmology
• Acoustic signatures in the Cosmic Microwave Background bispectrum from primordial magnetic fields
• Effects of power law primordial magnetic field on big bang nucleosynthesis
• Limits on high-frequency gravitational wave background from its interplay with large scale magnetic fields
• Generation of large-scale magnetic fields, non-Gaussianity, and primordial gravitational waves in inflationary cosmology
• Primordial Magnetic Field Effects on the CMB and Large Scale Structure
• Generation of Curvature Perturbations with Extra Anisotropic Stress
• Generation of large-scale magnetic fields from inflation in teleparallelism
• Constraints on the neutrino mass and the primordial magnetic field from the matter density fluctuation parameter ${\sigma }_8$
• CMB with the background primordial magnetic field
• Cosmic magnetization in curved and Lorentz violating space-times
• Evolution of the cosmic matter density field with a primordial magnetic field
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Effects of a primordial magnetic field with log-normal distribution on the cosmic microwave background
• 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