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TASI 2003 Lectures on Anomalies

Jeffrey A. Harvey

Abstract

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on String Theory in Hangzhou, China.

TASI 2003 Lectures on Anomalies

Abstract

These lecture notes review the structure of anomalies and present some of their applications in field theory, string theory and M theory. They expand on material presented at the TASI 2003 summer school and the 2005 International Spring School on String Theory in Hangzhou, China.

Paper Structure

This paper contains 37 sections, 161 equations.

Table of Contents

  1. Introduction
  2. Conventions
  3. Exercises
  4. Lecture 1: The Chiral anomaly
  5. $\pi^0 \rightarrow \gamma \gamma$
  6. The axial current anomaly in $1+1$ dimensions
  7. Fujikawa analysis of chiral anomalies
  8. Gravitational contribution to the chiral anomaly
  9. Why anomalies are one-loop exact
  10. Why anomalies are an infrared effect
  11. Exercises for Lecture 1
  12. Lecture 2: Applications of anomalies in $D=4$
  13. $\pi^0 \rightarrow \gamma \gamma$ revisited
  14. Cancellation of gauge anomalies
  15. 't Hooft matching conditions
  16. ...and 22 more sections