Lagrangian formulation for neutrino-plasma interactions

Physics

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Elementary Processes In Plasmas, Magnetohydrodynamics And Plasmas, Elementary Particle Processes, Neutrino Interactions

Scientific paper

A Lagrangian formalism is used to derive coupled nonlinear equations for collective interactions between an intense neutrino flux and a relativistic cold plasma fluid with multiple particle species. In order to focus on the self-consistent (collective) treatment of neutrino-plasma interactions, quantum effects are ignored throughout and the (spinless) neutrinos are represented by a complex-valued Klein-Gordon scalar field. Through the application of Noether's method, the conservation laws for energy, momentum and wave action are derived explicitly. The transfer of energy, momentum and wave action between the neutrinos and the electromagnetic-plasma is discussed in the context of astrophysical applications (e.g., type II supernova explosions).

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