Evolution of coupled fermions under the influence of an external axial-vector field

Abstract

The evolution of coupled fermions interacting with external axial-vector fields is described with help of the classical field theory. We formulate the initial conditions problem for the system of two coupled fermions in (3+1)-dimensional space-time. This problem is solved using the perturbation theory. We obtain in the explicit form the expressions for the leading and next to the leading order terms in the expansion over the strength of external fields. It is shown that in the relativistic limit the intensity of the fermion field coincides with the transition probability in the two neutrinos system interacting with moving and polarized matter.

RevTeX4, 8 pages, 1 eps figure; revised variant, neutral currents interactions of flavor neutrinos are included, some typos corrected, 1 reference added; accepted for publication in Eur.Phys.J.C

References in corpus (3)

• Electron Antineutrino Search at the Sudbury Neutrino Observatory
• First quantized approaches to neutrino oscillations and second quantization
• Evolution of coupled classical fields

Cited by in corpus (5)

• Evolution of Mixed Dirac Particles Interacting with an External Magnetic Field
• Neutrino oscillations in matter and in twisting magnetic fields
• Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field
• Neutrino flavor oscillations in background matter
• Spin-flavor oscillations of Dirac neutrinos described by relativistic quantum mechanics