Magnetohydrodynamics of the early Universe and the evolution of primordial magnetic fields

D. T. Son
Phys. Rev. D 59, 063008 – Published 17 February 1999
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Abstract

We show that the decaying magnetohydrodynamic turbulence leads to a more rapid growth of the correlation length of a primordial magnetic field than that caused by the expansion of the Universe. As an example, we consider the magnetic fields created during the electroweak phase transition. The expansion of the Universe alone would yield a correlation length at the present epoch of 1 AU, whereas we find that the correlation length is likely of order 100 AU, and cannot possibly be longer than 104AU for non-helical fields. If the primordial field is strongly helical, the correlation length can be much larger, but we show that even in this case it cannot exceed 100 pc. All these estimates make it hard to believe that the observed galactic magnetic fields can result from the amplification of seed fields generated at the electroweak phase transition by the standard galactic dynamo.

  • Received 24 July 1998

DOI:https://doi.org/10.1103/PhysRevD.59.063008

©1999 American Physical Society

Authors & Affiliations

D. T. Son

  • Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Vol. 59, Iss. 6 — 15 March 1999

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