Large-Scale Magnetic Field Generation byαEffect Driven by Collective Neutrino-Plasma Interaction

We suggest a new mechanism for the generation of a large-scale magnetic field in the hot plasma of the early Universe which is based on parity violation in weak interactions and depends neither on the helicity of matter turbulence resulting in the standard $\alpha$ effect nor on general rotation. The mechanism can result in a self-excitation of an (almost) uniform cosmological magnetic field.