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Geometric Aspects of Quantized Gauge Theories

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New Developments in Mathematical Physics

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 23/1981))

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Abstract

These notes represent the second two lectures delivered at the school. If they differ somewhat from the preliminary notes handed out before the lectures and from the material presented in the lectures themselves, this is the result of constructive feedback I have received during the lectures from several participants, to whom I express my indebtedness here. The lectures covered essentially two major topics: the geometric aspects of canonical quantization with indefinite metric, in particular, the meaning of gauge-fixing and the relation of “ghosts” to geometry, and quantization in terms of holonomy operators, an outgrowth of Mandelstam’s formulation of gauge theory without potentials, but involving path-ordered integrals.

Lectures given at XX. Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 17–26, 1981

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Authors and Affiliations

  1. Dept. of Physics, Univ. of California, 92717, Irvine, California, USA

    M. E. Mayer

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  1. M. E. Mayer
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Editor information

Editors and Affiliations

  1. Institut für Theorestische Physik, Universitätt Graz, Graz, Austria

    Heinrich Mitter

  2. Graz, Austria

    Ludwig Pittner

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© 1981 Springer-Verlag

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Mayer, M.E. (1981). Geometric Aspects of Quantized Gauge Theories. In: Mitter, H., Pittner, L. (eds) New Developments in Mathematical Physics. Acta Physica Austriaca, vol 23/1981. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8642-8_13

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  • DOI: https://doi.org/10.1007/978-3-7091-8642-8_13

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  • Print ISBN: 978-3-7091-8644-2

  • Online ISBN: 978-3-7091-8642-8

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