FAMILY OF ANOMALIES IN 4 DIMENSIONS IN PATH-INTEGRAL FORMULATION

We derive the result for the family of anomalies in QED in four dimensions in the path-integral formulation. We show that, as in two dimensions, the definition of the path-integral measure using the basis consisting of the eigenfunctions of the operator DBAR(a) = partial-differential-BAR + iea A and regularization of the currents in terms of the eigenvalues of this operator leads to this family. The arbitrary parameter in the family structure of anomalies is, thus, shown to be related to the arbitrariness in the choice of basis functions in which to expand fermion fields.