Linear wave spectrum associated with collective neutrino-plasma interactions

Mathematics – Logic

Scientific paper

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Scientific paper

The linear wave spectrum associated with collective neutrino-plasma interactions is investigated. Weak electric and magnetic fields, Ew = - nabla n - c-1 partial_tΓ and Bw = nabla× Γ, defined in terms of neutrino or plasma densities n_ν or ne (acting as scalar potentials) and neutrino or plasma flux densities Γ_ν or Γe (acting as vector potentials), are introduced into the neutrino-plasma fluid dynamics through a variational principle derived by Brizard, Murayama, and Wurtele [Phys. Rev. E 61, 4410 (2000)]. Space-charge waves supported by a magnetized (or unmagnetized) electron-positron plasma in the presence of a electron neutrino-antineutrino medium are shown to be capable of breaking the CP symmetry of the neutrino-antineutrino medium, with potentially important cosmological implications for the evolution of the Early Universe.

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