B. A. Faizullaev, M. M. Musakhanov, N. K. Pak
Published 1995-02-24, updated 1995-04-24Version 3
The problem of the higher-loop contributions to the axial anomaly is reexamined by a new method. We demonstrate that these contributions depend on the order of the calculations. If the divergence of the axial current by nonperturbative Fujikawa method is calculated first and then average it over the photon field in the presence of an external photon source, a nonzero contribution is obtained. However perturbative Feynman diagram method has an uncertainty. Depending on the order of the calculations above mentioned or zero results are obtained.
Comments: 8 pages, latex, in the final version of the preprint a reference to the book of F.A.Berezin is added and some corrections to the text are made
Journal: Phys.Lett. B361 (1995) 155-159; Erratum-ibid. B372 (1996) 343
The Axial Anomaly Revisited
Is the axial anomaly really determined in a continuous non-perturbative regularization?
Axial Anomaly in Noncommutative QED on R^4
