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We show that the ambiguity for the Chern-Simons-like term induced fromquantum correction in the extended QED should have nothing to do with theapproximation on the exact fermionic propagator, contradictory to the claim inRef.[19]. Further, we investigate the induced Chern-Simons-like term using theoriginal 't Hooft-Veltman dimensional regularization and reproduce the resultobtained by gauge symmetry analysis. This fact demonstrates that the origin ofthe ambiguity should lie in different choices on regularization schemes.

A Note on the Radiatively Induced Lorentz and CPT Violated Chern-Simons-like Term in the Extended Quantum Electrodynamics