Abstract
We discuss the validity of the naive Ward-Takahashi identities and trace identities for arbitrary -point functions () of scalar,pseudoscalar, vector, and axial-vector currents and the improved energy-momentum tensor, thus extending the previous investigations in a unified way. We show that the validity of the naive Ward-Takahashi identities of the energy-momentum tensor implies the satisfaction of those of the vector currents. This removes an ambiguity concerning the minimal sets of anomalous current Ward-Takahashi identities. We find that all the anomalous Ward-Takahashi identities for the broad structure of are again restricted to the axial-vector current of of abnormal parity in a well-defined pattern, and the trace identity anomalies occur only in normal-parity . We give all these anomalies. Our results show that there are no new anomalies associated with the inclusion of the energy-momentum tensor in the .
- Received 3 February 1975
DOI:https://doi.org/10.1103/PhysRevD.12.513
©1975 American Physical Society