A note on transverse axial vector and vector anomalies in U(1) gauge theories

The transverse axial vector and vector anomalies in four-dimensional U(1) gauge theories studied in [Phys. Lett. B 507 (2001) 351] is reexamined by means of perturbative method. The absence of transverse anomalies for both axial vector and vector current is verified. We also show that the Pauli–Villars regularization and dimensional regularization gives the same result on the transverse anomaly of both axial vector and vector current.