  I address and solve the natural problem of calculating the transverse current
anomalies in quantum electrodynamics by means of the path-integral method. An
explicitly divergent and regulator-dependent anomaly term is produced for the
vector current, in apparent contradiction with the null-result prediction of
the one-loop perturbative evaluation. This paradox is carefully explained using
the concept of infinite-dimensional Grassmann functional integration,
signifying a modification to the conventional wisdom of understanding anomalies
in field theory.
