Neutrino propagation in moving and polarized matter

The rapid development of neutrino astronomy, which is expressed, among other things, in the emergence of new neutrino mega-projects capable of efficient registering astrophysical neutrino fluxes requires a detailed knowledge of neutrino evolution inside neutrino sources (type II supernovae, gamma-ray bursts). This evolution can be influenced by many factors, each should be accounted for by a relevant theory. In this work, we develop the theory of neutrino propagation in moving and/or polarized matter by introducing for the first time an exact spin integral of motion. This enables us to obtain the neutrino dispersion under these conditions and resolve it for most important cases. Our approach opens up the possibility to consistently classify neutrino states in moving and/or polarized medium and, as a consequence, to give a systematic description of the related physical phenomena (e.g., neutrino oscillations, neutrino electromagnetic radiation).