Three-dimensional Lorentz-violating action
  We demonstrate the generation of the three-dimensional Chern-Simons-like Lorentz-breaking ``mixed" quadratic action via an appropriate Lorentz-breaking coupling of vector and scalar fields to the spinor field and study some features of the scalar QED with such a term. We show that the same term emerges through a nonpertubative method, namely the Julia-Toulouse approach of condensation of charges and defects. 
J. R. Nascimento, A. Yu. Petrov, C. Wotzasek, C. A. D. Zarro
hep-th