A Parity Invariant Regularization in 3-D Quantum Electrodynamics
  We regularize the 3-D quantum electrodynamics by a parity invariant Pauli-Villars regularization method. We find that in the perturbation theory the Chern-Simons term is not induced in the massless fermion case and induced in the massive fermion case. 
Tadahiko Kimura