Neutrino Oscillations in Finite Time Path Out-of-Equilibrium Thermal Field Theory

Abstract

We demonstrate that the Finite-Time-Path Field Theory is an adequate tool for calculating neutrino oscillations. We apply this theory using a mass-mixing Lagrangian which involves the correct Dirac spin and chirality structure and a Pontecorvo-Maki-Nakagawa-Sakata (PMNS)-like mixing matrix. The model is exactly solvable. The Dyson-Schwinger equations transform propagators of the input free (massless) flavor neutrinos into a linear combination of oscillating (massive) neutrinos. The results are consistent with the predictions of the PMNS matrix while allowing for extrapolation to early times.

Comments: 19 pages, published in the Special Issue "Selected Papers from ACHT 2021: Perspectives in Particle, Cosmo- and Astroparticle Theory", https://www.mdpi.com/journal/symmetry/special_issues/ACHT_2021