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

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

2006-01-19

arxiv.org/abs/hep-ph/0601156v2

Eur.Phys.J.C47:437-444,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 8 pages, 1 eps figure; revised variant, neutral currents interactions of flavor neutrinos are included, some typos co

Scientific paper

10.1140/epjc/s2006-02597-3

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.

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