Is the axial anomaly really determined in a continuous non-perturbative regularization?

Details Is the axial anomaly really determined in a continuous non-perturbative regularization? Is the axial anomaly really determined in a continuous non-perturbative regularization?

1999-09-03

arxiv.org/abs/hep-th/9909014v2

Eur.Phys.J.C23:349-355,2002

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, some typos corrected, to be published in European Physical Journal C

Scientific paper

10.1007/s100520100870

In the framework of a gauge invariant continuous and non-perturbative regularization scheme based on the smearing of point like interactions by means of cutoff functions, we show that the axial anomaly, though cutoff independent, depends on the shape of the cutoff functions. The standard value for the strength of the axial anomaly is recovered if we assume that the regularized gauge invariant axial current is in addition local.

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