Nonperturbative Adler-Bardeen Theorem

Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories

Anomalies in Quantum Field Theory Properties and Characterization

We consider the Adler-Bardeen anomaly of the U (1) axial current in abelian and non-abelian gauge theories and present its algebraic characterization as well as an explicit evaluation proving regularization scheme independence of the anomaly. By extending the gauge coupling to an external space-time dependent field we get a unique definition for the quantum corrections of the topological term. ...

Axial Vector Anomalies and the Scaling Property of Field Theory

' A proof of the Adler-Bardeen theorem is given with the aid of the Callan-Symanzik equation.

Adler-Bardeen theorem and vanishing of the gauge beta function

The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function. Supported in part by the Swiss National Science Foundation.

Non-renormalization theorems in softly broken SQED and the soft β-functions

The renormalization of softly broken SQED is related to the one of supersymmetric QED by using the construction with a local gauge supercoupling and by taking into account softly broken anomalous axial U(1) symmetry. From this extended model one obtains the non-renormalization theorems of SQED and the counterterms of the soft breaking parameters as functions of the supersymmetric counterterms. ...