  Some symmetries can be broken in the quantization process (anomalies) and
this breaking is signalled by a non-invariance of the quantum path integral
measure. In this talk we show that it is possible to formulate also classical
field theories via path integral techniques. The associated classical
functional measure is larger than the quantum one, because it includes some
auxiliary fields. For a fermion coupled with a gauge field we prove that the
way these auxiliary fields transform compensates exactly the Jacobian which
arises from the transformation of the fields appearing in the quantum measure.
This cancels the quantum anomaly and restores the symmetry at the classical
level.
