133 research outputs found
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
Bateman's dual system revisited: I. Quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator
By using the Feynman-Hibbs prescription for the evolution amplitude, we
quantize the system of a damped harmonic oscillator coupled to its
time-reversed image, known as Bateman's dual system.
The time-dependent quantum states of such a system are constructed and
discussed entirely in the framework of the classical theory.
The corresponding geometric (Pancharatnam) phase is calculated and found to
be directly related to the ground-state energy of the 1D linear harmonic
oscillator to which the 2D system reduces under appropriate constraint.Comment: 24 pages, RevTeX, 4 figures. Fully revised versio
Effective action approach to dynamical generation of fermion mixing
In this paper we discuss a mechanism for the dynamical generation of flavor
mixing, in the framework of the Nambu--Jona Lasinio model. Our approach is
illustrated both with the conventional operatorial formalism and with
functional integral and ensuing one-loop effective action. The results obtained
are briefly discussed.Comment: arXiv admin note: text overlap with arXiv:1312.492
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
't Hooft's quantum determinism -- path integral viewpoint
We present a path integral formulation of 't Hooft's derivation of quantum
from classical physics. Our approach is based on two concepts: Faddeev-Jackiw's
treatment of constrained systems and Gozzi's path integral formulation of
classical mechanics. This treatment is compared with our earlier one
[quant-ph/0409021] based on Dirac-Bergmann's method.Comment: Presented at Second International Workshop DICE2004, From Decoherence
and Emergent Classicality to Emergent Quantum Mechanics Piombino (Tuscany),
September 1-4, 2004, 6 pages, accepted to Braz.J.Phy
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
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