Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-04-16
Phys.Rev.D57:664-673,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 18 pages, 8 figures
Scientific paper
10.1103/PhysRevD.57.664
We consider the formation of a ring-like magnetic field in collisions of bubbles of broken phase in an abelian Higgs model. Particular attention is paid on multiple collisions. The small collision velocity limit, appropriate to the electroweak phase transition, is discussed. We argue that after the completion of the electroweak phase transition, when averaged over nucleation center distances, there exists a mean magnetic field $B\simeq 2.0\times 10^{20}$ G with a coherence length $9.1 \times 10^3 GeV^{-1}$ (for m_H=68 GeV). Because of the ring-like nature of B, the volume average behaves as $B \sim 1/L$. Taking into account the turbulent enhancement of the field by inverse cascade, we estimate that colliding electroweak bubbles would give rise to a mean field $B_{rms}\simeq 10^{-21}$ G at 10 Mpc comoving scale today.
Ahonen Jarkko
Enqvist Kari
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