Noncommutative SU(N) theories, the axial anomaly, Fujikawa's method and the Atiyah-Singer index

C. P. Martin, C. Tamarit

Fujikawa's method is employed to compute at first order in the noncommutative parameter the $U(1{)}_A$ anomaly for noncommutative SU(N). We consider the most general Seiberg-Witten m…