A note on the Faddeev-Popov determinant and Chern-Simons perturbation theory
High Energy Physics - Theory
2008-02-03 v1 dg-ga
Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9704159,
title = {A note on the Faddeev-Popov determinant and Chern-Simons perturbation theory},
author = {David H. Adams},
journal= {arXiv preprint arXiv:hep-th/9704159},
year = {2008}
}
Comments
13 pages, latex. To appear in Lett.Math.Phys