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Can the observed large scale magnetic fields be seeded by helical primordial fields?

Chiara Caprinia, Ruth Durrerb and Elisa Fenub

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Gravitational wave production induces a strong constraint on the amplitude of a primordial magnetic field. It has been shown that the nucleosynthesis bound for a stochastic gravitational wave background implies that causally generated fields cannot have enough power on large scales to provide the seeds necessary for the observed magnetic fields in galaxies and clusters, even by the most optimistic dynamo amplification. Magnetic fields generated at inflation can have high enough amplitude only if their spectrum is very red. Here we show that helicity, which leads to an inverse cascade, can mitigate these limits. In particular, we find that helical fields generated at the QCD phase transition or at inflation with red spectrum are possible seeds for the dynamo. Helical fields generated at the electroweak phase transition are instead excluded as seeds at large scales. We also calculate the spectrum of gravitational waves generated by helical magnetic fields.

Keywords

Magnetohydrodynamics

primordial magnetic fields

gravitational waves / theory

 

E-print Number: 0906.4976

Cited: by |

Refers: to

PACS

04.30.Db Wave generation and sources

98.80.Ft Origin, formation, and abundances of the elements

95.30.Cq Elementary particle processes

12.15.-y Electroweak interactions

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

26.40.+r Cosmic ray nucleosynthesis

Subjects

Nuclear physics

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 11 (November 2009)

Received 29 June 2009, accepted for publication 29 September 2009

Published 4 November 2009



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