Chern--Simons Perturbation Theory II

Details Chern--Simons Perturbation Theory II Chern--Simons Perturbation Theory II

1993-04-21

arxiv.org/abs/hep-th/9304087v1

J.Diff.Geom. 39 (1994) 173-213

Physics

High Energy Physics

High Energy Physics - Theory

40 pages

Scientific paper

In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory on a general $3$-manifold $M$ is finite. We conjectured (and proved for the case of $2$-loops) that, after adding counterterms of the expected form, the terms in the perturbation theory define topological invariants. In this paper we prove this conjecture. Our proof uses a geometric compactification of the region on which the Feynman integrand of Feynman diagrams is smooth as well as an extension of the basic propagator of the theory.

Affiliated with

Also associated with

No associations

Rating

Chern--Simons Perturbation Theory II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chern--Simons Perturbation Theory II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chern--Simons Perturbation Theory II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-85150