Analysis of Observables in Chern-Simons Perturbation Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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42pages

Scientific paper

10.1016/0550-3213(93)90215-B

Chern-Simons Theory with gauge group $SU(N)$ 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.

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