A note on the Faddeev-Popov determinant and Chern-Simons perturbation theory

Details A note on the Faddeev-Popov determinant and Chern-Simons perturbation theory A note on the Faddeev-Popov determinant and Chern-Simons perturbation theory

1997-04-23

arxiv.org/abs/hep-th/9704159v1

Lett.Math.Phys. 42 (1997) 205-214

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, latex. To appear in Lett.Math.Phys

Scientific paper

A refined expression for the Faddeev-Popov determinant is derived for gauge theories quantised around a reducible classical solution. We apply this result to Chern-Simons perturbation theory on compact spacetime 3-manifolds with quantisation around an arbitrary flat gauge field isolated up to gauge transformations, pointing out that previous results on the finiteness and formal metric-independence of perturbative expansions of the partition function continue to hold.

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