Anomalies in Quantum Field Theory

  • Allen C. Hirshfeld

Abstract

A review is presented of the anomaly problem in quantum field theory. The problems encountered in evaluating the π0 → 2γ decay are described, as well as the point-splitting method for dealing with these problems and deriving the chiral anomaly. We next show how the Wess-Zumino consistency conditions allow the understanding of these results in the context of the cohomology of Lie algebras. Then some concepts from the theory of characteristic classes are discussed, including the Chern character, in order to derive the descent equations which are the basis for the algebraic calculation of anomalies. Finally, the relation of the anomaly problem to the question of Schwinger terms in current algebra is clarified.

Keywords

Manifold Ghost 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Allen C. Hirshfeld
    • 1
  1. 1.Institut für Physik der UniversitätDortmund 50Federal Republic of Germany

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