Modified Magnetohydrodynamics Around the Electroweak Transition

Abstract

We analyse solutions of the MHD equations around the electroweak transition taking into account the effects of the chiral anomaly. It is shown that a transition that is not of the first order has direct consequences on the evolution of the asymmetry between left- and right-handed leptons. Assuming an initial chiral asymmetry in the symmetric phase at temperatures higher than the transition temperature, as well as the existence of magnetic fields, it is demonstrated that the asymmetry typically grows with time, until it undergoes a fast decrease at the transition, and then eventually gets damped at lower temperatures in the broken phase. We argue that it is unlikely to have any significant magnetic field amplification as a consequence of the electroweak transition in the Standard model, even when the chiral anomaly is introduced. The presence of a chiral asymmetry between left- and right-handed charge carriers naturally leads to the creation of helical magnetic fields from non-helical fields and this can have consequences on their subsequent evolution.

21 pages, 7 figures; matches published version

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• N-flationary magnetic fields
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Cited by in corpus (13)

• Baryogenesis from Decaying Magnetic Helicity
• Evolution of the Baryon Asymmetry through the Electroweak Crossover in the Presence of a Helical Magnetic Field
• Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
• On electrodynamics of chiral matter
• Chiral Magnetohydrodynamic Turbulence
• Influence of the turbulent motion on the chiral magnetic effect in the early Universe
• Evolution of the Primordial Axial Charge across Cosmic Times
• Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma
• Generation of chiral asymmetry via helical magnetic fields
• The effects of the U${}_{\text{Y}}$(1) Chern-Simons term and its baryonic contribution on matter asymmetries and hypermagnetic fields
• Cold Dark Matter Based on an Analogy with Superconductivity
• On minimal energy states of chiral MHD turbulence
• Inefficiency of chiral dynamos in protoneutron stars and the early universe