Lorentz Symmetry Breaking in Abelian Vector-Field Models with   Wess-Zumino Interaction
  We consider the abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The occurence of the dynamic breaking of Lorentz symmetry at classical and one-loop level is described for massless and massive vector fields. This phenomenon appears to be the non-perturbative counterpart of the perturbative renormalizability and/or unitarity breaking in the chiral gauge theories. 
A.A.Andrianov and R.Soldati