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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Cited by in corpus (2)

• The influence of magnetic fields on the thermodynamics of primordial star formation
• Limits on high-frequency gravitational wave background from its interplay with large scale magnetic fields