Nonperturbative Adler-Bardeen theorem

Nonperturbative Adler-Bardeen Theorem

1.1 Anomalies in QFT. The chiral anomaly appears as a quantum correction to the conservation of the axial current for massless fermions. A crucial property is the anomaly nonrenormalization, which says that the chiral anomaly is given exactly by its lower order contribution. This property was proved first for QED4 in [AB] in the well known Adler-Bardeen Theorem: it was shown that there is a dra...

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.

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

A Nonperturbative Eliasson’s Reducibility Theorem

This paper is concerned with discrete, one-dimensional Schrödinger operators with real analytic potentials and one Diophantine frequency. Using localization and duality we show that almost every point in the spectrum admits a quasi-periodic Bloch wave if the potential is smaller than a certain constant which does not depend on the precise Diophantine conditions. The associated first-order syste...

Alfred Adler

By Phyllis Bottome. Faber & Faber, Ltd. Price 10s. 6d. net. This is the third appreciation of Adler published in England since his death at Aberdeen in August, 1937. It is written by a well-known novelist who, with her husband, was in close touch with Adler and his family for the last ten years of his life. It is the most intimate account yet available in English and gives many personal details...