Neutrino (antineutrino) effective charge in a magnetized electron-positron plasma

Using dynamical techniques of the plasma physics, the neutrino (antineutrino) effective charge in a magnetized dense electron -positron plasma is determined here. It shown that its value, which is determined by the plasma collective processes, depends mainly on the propagation direction of plasma waves and neutrinos against the external magnetic field direction. The direction dependence of the effective charge occurs due to the fact that the magnetic field breaks the plasma isotropy. The present theory gives a unified picture of the problem which is valid for an external magnetic field below the Landau-Schwinger critical value. Comparison with some of the results from the quantum field theory has been made. (C) 2004 American Institute of Physics.