paper

Analysis of Observables in Chern-Simons Perturbation Theory

arXiv:hep-th/9110069 · doi:10.1016/0550-3213(93)90215-B

Abstract

Chern-Simons Theory with gauge group $S U (N)$ is analyzed from a perturbation theory point of view. The vacuum expectation value of the unknot is computed up to order $g^{6}$ and it is shown that agreement with the exact result by Witten implies no quantum correction at two loops for the two-point function. In addition, it is shown from a perturbation theory point of view that the framing dependence of the vacuum expectation value of an arbitrary knot factorizes in the form predicted by Witten.

42pages