A Note on the Faddeev–Popov Determinant and Chern–Simmons Perturbation Theory |
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Authors: | Adams David H |
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Institution: | (1) School of Mathematics, Trinity College, Dublin, 2, Ireland. e-mail |
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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. |
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Keywords: | gauge theory Faddeev– Popov reducible gauge field perturbation theory Chern– Simons gauge theory 3-manifold partition function |
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