Kinetics of a lepton plasma in the standard model of electroweak interactions

Abstract

A many-particle electron-neutrino system of arbitrary density is considered within the framework of the standard model of electro-weak interactions. The Bogolyubov method has been applied for consistent derivation of relativistic kinetic equations (RKE) for neutrinos and electrons, i including the collision integrals, as well as the contributions from the self-consistent field. It is shown that the latter is essential for neutrinos, as they acquire a small effective electric charge in the dispersive medium (plasma) to result in long-range ( r −1) weak forces and some collective effects which have not been taken into account for such systems until now. It is noted that neutral currents play a dominating role in the low-energy region, since they contribute mainly to long-wave length perturbations of the electron and neutrino densities.