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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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Stora–Zumino chain of descent equations

Stora–Zumino chain of descent equations

Chapter:
(p.366) 9 Stora–Zumino chain of descent equations
Source:
Anomalies in Quantum Field Theory
Author(s):

Reinhold A. Bertlmann

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198507628.003.0009

This chapter shows how the singlet anomaly in 2n dimensions determines the non-Abelian anomaly in (2n - 2) dimensions via a set of equations. These are part of a whole chain of equations, which descend in their form degree, thus called the Stora–Zumino chain of descent equations. This chain is derived in pure mathematical grounds — algebra and differential geometry — and its meaning is physics is discussed. The chapter offers the topological aspect of a chain, described by an index theorem.

Keywords:   singlet anomaly, non-Abelian anomaly, Stora–Zumino chain, descent equations

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