TY - UNPB
T1 - Quasi-relativistic fermions and dynamical flavour oscillations
AU - Alexandre, Jean
AU - Leite, Julio
AU - E. Mavromatos, Nick
PY - 2014/4/29
Y1 - 2014/4/29
N2 - We introduce new Lorentz-symmetry violating kinematics for a four-fermion interaction model, where dynamical mass generation is allowed, irrespectively of the strength of the coupling. In addition, these kinematics lead to a quasi-relativistic 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 flavour-mixing mass matrix is generated dynamically, and the Lorentz symmetric limit M → ∞ leads to two free relativistic fermions, with flavour oscillations. This model, valid for either Dirac or Majorana fermions, can describe any set of phenomenological values for the eigen masses and the mixing angle.
AB - We introduce new Lorentz-symmetry violating kinematics for a four-fermion interaction model, where dynamical mass generation is allowed, irrespectively of the strength of the coupling. In addition, these kinematics lead to a quasi-relativistic 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 flavour-mixing mass matrix is generated dynamically, and the Lorentz symmetric limit M → ∞ leads to two free relativistic fermions, with flavour oscillations. This model, valid for either Dirac or Majorana fermions, can describe any set of phenomenological values for the eigen masses and the mixing angle.
KW - hep-th
KW - hep-ph
M3 - Working paper
SP - N/A
BT - Quasi-relativistic fermions and dynamical flavour oscillations
PB - arXiv
ER -