Axial-Anomaly in Noncommutative QED and Pauli-Villars Regularization

Abstract

We 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.

1+15 Pages, No figures

Cited by in corpus (2)

• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Path integral analysis of the axial anomaly in Very Special Relativity