On the radiatively induced Lorentz and CPT violating Chern-Simons term

The radiatively induced Lorentz and CPT violating Chern-Simons terms in QED are calculated based on the recently developed loop regularization method [Y.L. Wu, Int. J. Mod. Phys. A 18 (2003) 5363, hep-th/0209021; Y.L. Wu, Mod. Phys. Lett. A 19 (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.