https://doi.org/10.1140/epjc/s10052-019-6659-x
Regular Article - Theoretical Physics
Neutrino propagation in media and axis of complete polarization
1
Irkutsk State University, 664003, Irkutsk, Russia
2
Joint Institute for Nuclear Research, 141980, Dubna, Russia
* e-mail: alexander.e.kaloshin@gmail.com
Received:
16
August
2018
Accepted:
6
February
2019
Published online:
20
February
2019
We construct a spectral representation of neutrino propagator in moving matter or in external magnetic field. In both cases there exists fixed four-dimensional axis of polarization, such that the corresponding spin projectors commute with propagator. As a result, all eigenvalues of propagator and, consequently, dispersion laws for neutrino in media are classified according to spin projection onto this axis. Use of the found spin projectors simplifies essentially the eigenvalue problem and allows to build spectral representation of propagator in moving matter or external magnetic field in analogy with the vacuum propagator.
© The Author(s), 2019
