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The integration ofG-invariant functions and the geometry of the Faddeev-Popov procedure

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Abstract

Various versions of the Fubini theorem on the principal fibre bundle are derived. The formal generalizations of these theorems are used as a basic tool for the investigation of the geometrical setting of the Faddeev-Popov procedure in the cases of pure Yang-Mills theories, spinless particle and Polyakov's bosonic string.

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Wrocław, ul. Cybulskiego 36, PL-50-205, Wrocław, Poland

    Z. Jaskólski

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  1. Z. Jaskólski
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Communicated by L. Alvarez-Gaumé

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Jaskólski, Z. The integration ofG-invariant functions and the geometry of the Faddeev-Popov procedure. Commun.Math. Phys. 111, 439–468 (1987). https://doi.org/10.1007/BF01238908

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  • DOI: https://doi.org/10.1007/BF01238908

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