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Anomalies in Quantum Field Theory

by Reinhold A. Bertlmann

A geometry-based introduction to symmetry anomalies in quantum field theory

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Paperback New English

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AlbakiReads Editorial

A geometry-based introduction to symmetry anomalies in quantum field theory

Bertlmann’s revised textbook examines anomalies: cases in which a symmetry present in a classical theory does not persist through quantization and regularization. It situates the subject within quantum field theory while developing it through differential geometry, making the mathematical framework central to the presentation. Detailed derivations and calculations give the volume a working, instructional emphasis rather than a purely historical survey. As the source describes it as the first textbook devoted to anomalies, the book is structured to establish the topic systematically for sustained study in theoretical and mathematical physics.

Good fit for readers who enjoy

  • Students undertaking advanced study in quantum field theory
  • Researchers in theoretical physics seeking detailed anomaly calculations
  • Mathematical physicists interested in differential-geometric approaches

Themes

Quantum anomaliesClassical symmetry and quantizationRegularizationDifferential geometryTheoretical and mathematical physics

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Book overview

An anomaly is the failure of a classical symmetry to survive the process of quantization and regularization. The study of anomalies has played an important role in quantum field theory in the last 20 years, one which is described clearly and comprehensively in this book, the first textbook on the subject. The author approaches the subject through differential geometry, a method that has received much attention in recent years, and gives detailed derivations and calculations which will be invaluable to both students and researchers in theoretical and mathematical physics.
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