Quasirelativistic fermions and dynamical flavor oscillations.

We introduce new Lorentz-symmetry violating kinematics for a four-fermion interaction model, where dynamical mass generation is allowed, irrespective of the strength of the coupling. In addition, these kinematics lead to a quasirelativistic dispersion relation, in the sense that it is relativistic in both the infrared and the ultraviolet, but not in an intermediate regime, characterized by the mass M. For two fermions, we show that a flavor-mixing mass matrix is generated dynamically, and the Lorentz symmetric limit M?8 leads to two free relativistic fermions, with flavor oscillations. This model, valid for either Dirac or Majorana fermions, can describe any set of phenomenological values for the eigenmasses and the mixing angle. [ABSTRACT FROM AUTHOR]