Abstract
A generalisation of the finite dimensional presentation of the Faddeev-Popov perocedure is derived, in an infinite dimensional framework for gauge theories with finite dimensional moduli space using heat-kernel regularised determinants. It is shown that the infinite dimensional Faddeev-Popov determinant is-up to a finite dimensional determinant determined by a choice of a slice-canonically determined by the geometrical data defining the gauge theory, namely a fibre bundleP→P/G with structure groupG and the invariance group of a metric structure given on the total spaceP. The case of (closed) bosonic string theory is discussed.
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Communicated by H. Araki
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Paycha, S. The Faddeev-Popov procedure and application to bosonic strings: An infinite dimensional point of view. Commun.Math. Phys. 147, 163–180 (1992). https://doi.org/10.1007/BF02099532
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DOI: https://doi.org/10.1007/BF02099532