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Neutrino Mixing and Oscillations in Quantum Field Theory

1996/01/29 by E. Alfinito, M. Blasone, A. Iorio +1
Physics and Astronomy · #hep-ph #astro-ph #hep-th

paper · pdf

published as Acta Phys.Polon. B27 (1996) 1493-1502 · 13 pages, LaTex + 1 figure. Talk given at the XIXth International Conference on Particle Physics and Astrophysics in the Standard Model and Beyond, Bystra, Poland, September 19-26, 1995

arxiv created 1996/01/29 · arxiv updated 2009/11/30

Abstract

We show that the generator of field mixing transformations in Quantum Field Theory induces a non trivial structure in the vacuum which turns out to be a coherent state, both for bosons and for fermions, although with a different condensate structure. The Fock space for mixed fields is unitarily inequivalent to the Fock space of the massive (free) fields in the infinite volume limit. As a practical application we study neutrino mixing and oscillations. A new oscillation formula is found where the oscillation amplitude is depressed, with respect to the usual one, by a factor which is momentum and mass dependent. In the relativistic limit, the usual formula is recovered. We finally discuss in some detail phenomenological features of the modified oscillation formula.

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