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The pairing method and bosonic anomalies

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Differential Geometrical Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((ASIC,volume 250))

Abstract

In this expository paper we use the pairing method of geometric quantization to explain the appearance of “anomalies” in the quantization of infinite dimensional bosonic systems. That is, we explain why, when quantizing quadratic Hamiltonians,onehas to only pass to a Z 2 extension of the symplectic group in the finite dimensional case, which is therefor not visible on the infinitesimal level, whereas in the infinite dimensional case one has to adjoin a whole circle. The corresponding infinitesimal cocycle is the “bosonic anomaly”.

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Authors
  1. Shlomo Stemberg
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Editors and Affiliations

  1. Institute for Theoretical Nuclear Physics, University of Bonn, Bonn, Germany

    K. Bleuler  & M. Werner  & 

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© 1988 Springer Science+Business Media Dordrecht

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Stemberg, S. (1988). The pairing method and bosonic anomalies. In: Bleuler, K., Werner, M. (eds) Differential Geometrical Methods in Theoretical Physics. NATO ASI Series, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7809-7_14

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  • DOI: https://doi.org/10.1007/978-94-015-7809-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8459-0

  • Online ISBN: 978-94-015-7809-7

  • eBook Packages: Springer Book Archive

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