A Limit on Primordial Small-Scale Magnetic Fields from CMB Distortions
K. Jedamzik, V. Katalinic, A. V. Olinto
Abstract
Spatially varying primordial magnetic fields may be efficiently dissipated prior to the epoch of recombination due to the large viscosity of the baryon-photon fluid. We show that this dissipation may result in observable chemical potential mu and Compton y distortions in the cosmic microwave background radiation (CMB) spectrum. Current upper limits on mu and y from FIRAS constrain magnetic fields to have strength B0 < 3× 10-8Gauss (scaled to the present) between comoving coherence length ≈ 400 pc and ≈ 0.6 Mpc. This represents the strongest upper limit on small-scale primordial magnetic fields to date.
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