Anomalies to All Orders

TL;DR

This paper discusses the author's work on chiral and trace anomalies, their nonrenormalization properties, and implications for supersymmetric theories, highlighting foundational aspects of quantum field theory anomalies.

Contribution

It provides an account of the author's involvement with anomalies, emphasizing the nonrenormalization theorem and all-orders calculations, and explores their implications in supersymmetric contexts.

Findings

Confirmation of nonrenormalization of the chiral anomaly

All-orders calculation of the trace anomaly

Implications for supersymmetric theories

Abstract

I give an account of my involvement with the chiral anomaly, and with the nonrenormalization theorem for the chiral anomaly and the all orders calculation of the trace anomaly, as well as related work by others. I then briefly discuss implications of these results for more recent developments in anomalies in supersymmetric theories.