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.
@article{arxiv.1403.0786,
title = {Three-dimensional Lorentz-violating action},
author = {J. R. Nascimento and A. Yu. Petrov and C. Wotzasek and C. A. D. Zarro},
journal= {arXiv preprint arXiv:1403.0786},
year = {2014}
}