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Anomalies in Quantum Field Theory$
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Reinhold A. Bertlmann

Print publication date: 2000

Print ISBN-13: 9780198507628

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198507628.001.0001

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Physics in terms of differential forms

Physics in terms of differential forms

Chapter:
(p.287) 6 Physics in terms of differential forms
Source:
Anomalies in Quantum Field Theory
Author(s):

Reinhold A. Bertlmann

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198507628.003.0006

This chapter applies the mathematical formalism developed in Chapter 2 — essentially differential geometry and topology — to specific examples in physics. It begins with the familiar example of electrodynamics. It then turns to the Yang–Mills theory and formulates the anomalies in terms of differential forms. The chapter discusses the Dirac monopole, the Aharonov–Bohm effect, and the instantons. It demonstrates how they arise as effects of a nontrivial topology of the fields.

Keywords:   electrodynamics, Yang–Mills theory, Dirac monopole, Aharonov–Bohm effect, instantons

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