Operator relation among neutrino fields and oscillation formulas in matter

Details Operator relation among neutrino fields and oscillation formulas in matter Operator relation among neutrino fields and oscillation formulas in matter

2002-12-05

arxiv.org/abs/hep-ph/0212076v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, no figures, revtex

Scientific paper

Starting with the relation between two kinds of neutrino field operators corresponding to definite flavor and mass states, we investigate if the usual evolution relations for neutrino oscillation in matter can be consistently derived, in the case of high energy neutrinos. A negative answer is obtained contrary to an earlier result [P. D. Mannheim, Phys. Rev. D {\bf 37} (1988) 1935]. The reason for such a difference relies essentially on the Bogolyubov transformation between two kinds of momentum-helicity creation- and annihilation-operators with definite flavors and masses, which was not taken into account in previous treatments.

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