3 research outputs found
New Application of Functional Integrals to Classical Mechanics
In this paper a new functional integral representation for classical dynamics
is introduced. It is achieved by rewriting the Liouville picture in terms of
bosonic creation-annihilation operators and utilizing the standard derivation
of functional integrals for dynamical quantities in the coherent states
representation. This results in a new class of functional integrals which are
exactly solvable and can be found explicitly when the underlying classical
systems are integrable.Comment: 13 page
Minimal See-Saw Model for Atmospheric and Solar Neutrino Oscillations
We present a minimal see-saw model based on an extension of the standard
model (SM) which includes an additional U(1), with gauge charge . Requirement of anomaly cancellation implies the
existence of two right-handed singlet neutrinos, carrying this gauge charge,
which have normal Dirac couplings to and but suppressed
ones to . Assuming the U(1) symmetry breaking scale to be
10~GeV, this model can naturally account for the large (small) mixing
solutions to the atmospheric (solar) neutrino oscillations.Comment: 14 pages, latex, no figure