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Anomalies in Quantum Field Theory

Reinhold A. Bertlmann

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The anomaly, which forms the central part of this book, is the failure of classical symmetry to survive the process of quantization and regularization. The study of anomalies is the key to a deeper ... More


Index and anomaly

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter studies the role of anomaly in the topology of gauge theories. It shows that the anomaly also has a ‘natural’ explanation; it occurs as an obstruction in certain nontrivial bundles and ... More


Path integral and anomaly

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 4 presented a thorough investigation of the anomaly within perturbation theory. This chapter presents the nonperturbative view. Section 5.1 performs a chiral transformation of the path ... More


Chern–Simons form, homotopy operator and anomaly

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Chern–Simons form and the homotopy operator plays an important role in connection with anomalies. In fact, the anomaly can be calculated on pure algebraic grounds from a variation of the ... More


Stora–Zumino chain of descent equations

Reinhold A. Bertlmann

in Anomalies in Quantum Field Theory

Published in print:
2000
Published Online:
January 2010
ISBN:
9780198507628
eISBN:
9780191706400
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507628.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

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 ... More


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