2024-11-0920190217-751X10.1142/S0217751X195015012-s2.0-85072314206http://dx.doi.org/10.1142/S0217751X19501501https://hdl.handle.net/20.500.14288/12691We calculate the U(1) axial-anomaly in two and four dimensions using a modified path integral method coupled to a Pauli-Villars regulator field in the noncommutative QED. Pauli-Villars regularization method provides us with unambiguous way to connect the modified path integral formalism with perturbative axial Ward identities at each step of calculations.Physics, nuclearPhysics, particlesFieldsJournal Article1793-656X487187600006Q311038