Tina Kahniashvili, Yurii Maravin, Aravind Natarajan, Nicholas Battaglia, Alexander G. Tevzadze
We study primordial magnetic field effects on the matter perturbations in the Universe. We do not limit analysis by considering a particular magnetogenesis scenario that assumes magnetic field generation prior to recombination. Contrary to previous studies, we limit the total magnetic field energy density and not the smoothed amplitude of the magnetic field at large (order of 1 Mpc) scales. We review several cosmological signatures, such as halos abundance, thermal Sunyaev Zel'dovich (tSZ) effect, and Lyman-$\alpha$ data. For a cross check we compare our limits with that obtained through the CMB faraday rotation effect and nucleosynthesis bound. The limits are ranging between 1.5 nG and 4.5 nG for $n_B \in (-3; -1.5)$.
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http://arxiv.org/abs/1211.2769
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