Plasma wave instabilities induced by neutrinos

Abstract

Quantum field theory is applied to study the interaction of an electron plasma with an intense neutrino flux. A connection is established between the field theory results and classical kinetic theory. The dispersion relation and damping rate of the plasma longitudinal waves are derived in the presence of neutrinos. It is shown that Supernova neutrinos are never collimated enough to cause non-linear effects associated with a neutrino resonance. They only induce neutrino Landau damping, linearly proportional to the neutrino flux and $G_{\mathrm{F}}^2$.

18 pages, 3 figures, title and references corrected

References in corpus (1)

• Neutrino Induced Electrostatic Waves in Degenerate Electron Plasmas

Cited by in corpus (11)

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• Electromagnetic properties of a neutrino stream
• Electromagnetic effects of neutrinos in an electron gas
• Collective Modes in Neutrino `Beam' Electron-Positron Plasma Interactions
• Nonconservation of lepton current and asymmetry of relic neutrinos
• Instabilities in neutrino-plasma density waves
• Generation of the relic neutrino asymmetry in a hot plasma of the early Universe
• Neutrino induced vorticity, Alfven waves and the normal modes