Evolution of coupled classical fields

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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7 pages, RevTeX4, some typos corrected, 2 references added; final version published in Phys.Lett. B

Scientific paper

10.1016/j.physletb.2005.02.013

We study the evolution of the coupled scalar and fermion fields within the classical field theory. We examine the case of N coupled fields in 1+3 dimensional space. The general expressions for the fields distributions are obtained. The particular case of two fields in 1+1 dimensional space is carefully studied. We obtain the expressions for the averaged fields intensities and show that in the relativistic limit they are similar to the usual transition probabilities formulae of neutrino oscillations.

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