572 research outputs found
Non-cyclic phases for neutrino oscillations in quantum field theory
We show the presence of non-cyclic phases for oscillating neutrinos in the
context of quantum field theory. Such phases carry information about the
non-perturbative vacuum structure associated with the field mixing. By
subtracting the condensate contribution of the flavor vacuum, the previously
studied quantum mechanics geometric phase is recovered
Non-abelian gauge structure in neutrino mixing
We discuss the existence of a non-abelian gauge structure associated with
flavor mixing. In the specific case of two flavor mixing of Dirac neutrino
fields, we show that this reformulation allows to define flavor neutrino states
which preserve the Poincar\'e structure. Phenomenological consequences of our
analysis are explored.Comment: 13 pages, 2 figure
Physical flavor neutrino states
The problem of representation for flavor states of mixed neutrinos is
discussed. By resorting to recent results, it is shown that a specific
representation exists in which a number of conceptual problems are resolved.
Phenomenological consequences of our analysis are explored.Comment: Presented at 5th International Workshop DICE2010: Space-Time-Matter -
Current Issues in Quantum Mechanics and Beyon
Mixing and oscillations of neutral particles in Quantum Field Theory
We study the mixing of neutral particles in Quantum Field Theory: neutral
boson field and Majorana field are treated in the case of mixing among two
generations. We derive the orthogonality of flavor and mass representations and
show how to consistently calculate oscillation formulas, which agree with
previous results for charged fields and exhibit corrections with respect to the
usual quantum mechanical expressions.Comment: 8 pages, revised versio
Currents and charges for mixed fields
We present an analysis of currents and charges for a system of two mixed
fields, both for spinless bosons and for Dirac fermions. This allows us to
obtain in a straightforward way the exact field theoretical oscillation
formulas exhibiting corrections with respect to the usual ones derived in
quantum mechanics.Comment: 4 pages, RevTe
Neutrino mixing contribution to the cosmological constant
We show that the non-perturbative vacuum structure associated with neutrino
mixing leads to a non-zero contribution to the value of the cosmological
constant. Such a contribution comes from the specific nature of the mixing
phenomenon. Its origin is completely different from the one of the ordinary
contribution of a massive spinor field. We estimate this neutrino mixing
contribution by using the natural cut--off appearing in the quantum field
theory formalism for neutrino mixing and oscillation.Comment: 7 page
Lepton charge and neutrino mixing in pion decay processes
We consider neutrino mixing and oscillations in quantum field theory and
compute the neutrino lepton charge in decay processes where neutrinos are
generated. We also discuss the proper definition of flavor charge and states
and clarify the issues of the possibility of different mass parameters in field
mixing.Comment: 13 page
Phenomenology of flavor oscillations with non-perturbative effects from quantum field theory
We analyze phenomenological aspects of the quantum field theoretical
formulation of meson mixing and obtain the exact oscillation formula in the
presence of the decay. This formula is different from quantum mechanical
formula by additional high-frequency oscillation terms. In the infinite volume
limit, the space of the flavor quantum states is unitarily inequivalent to the
space of energy eigenstates
Quantization, group contraction and zero point energy
We study algebraic structures underlying 't Hooft's construction relating
classical systems with the quantum harmonic oscillator. The role of group
contraction is discussed. We propose the use of SU(1,1) for two reasons:
because of the isomorphism between its representation Hilbert space and that of
the harmonic oscillator and because zero point energy is implied by the
representation structure. Finally, we also comment on the relation between
dissipation and quantization.Comment: 6 pages, 3 figure
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