Abstract

We show that, in the path-integral formalism, anomalies can arise from the discrepancy between classical field equations and quantum field equations. With a suitable regularization for the functional derivative, this discrepancy leads to an expression identical to that obtained from Fujikawa's anomalous Jacobian, for the U(1) and the non-Abelian anomalies, respectively. This approach provides an alternative interpretation for the origin of anomalies in the path-integral formalism, which is more closely related to the conventional one in the operator formalism.

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