Mass Hierarchies in Lorentz-Violation-induced Dynamical Mass Models
  We discuss the issue of fermion mass hierarchies between lepton and quark families in toy models of dynamical generation of fermion masses through minimal Lorentz Invariance Violation. Realistic hierarchies in chiral theories necessitate an extended gauge structure, which includes both vector and axial-vector interactions. 
Jean Alexandre, Nick E. Mavromatos
hep-th hep-ph