Neutrino propagation in media and axis of complete polarization
High Energy Physics - Phenomenology
2019-03-27 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1808.05514,
title = {Neutrino propagation in media and axis of complete polarization},
author = {A. E. Kaloshin and D. M. Voronin},
journal= {arXiv preprint arXiv:1808.05514},
year = {2019}
}
Comments
16 pages, journal version