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.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- September 2019
- DOI:
- 10.1142/S0217751X19501501
- Bibcode:
- 2019IJMPA..3450150A
- Keywords:
-
- Noncommutative QED;
- axial anomaly;
- Pauli–Villars regularization;
- 11.15.Wx;
- 11.15.Yc;
- 11.30.Rd;
- Chiral symmetries