  The radiatively induced Lorentz and CPT violating Chern-Simons terms in QED
is calculated based on the recently developed loop regularization method [Y.L.
Wu, Int.J.Mod.Phys.A18 (2003) 5363, hep-th/0209021; Y.L. Wu, Mod.Phys.Lett.A19
(2004) 2191, hep-th/0311082] for quantum field theories. It enables us to make
general comments on the various results in literature and obtain a consistent
result when simultaneously combining the evaluation for the chiral anomaly
which has a unique form once the vector current is kept conserved.
