Chern-Simons Path Integral on $R^3$ Using Abstract Wiener Measure

Abstract

Instead of using white noise analysis, we use abstract Wiener measure to define the Chern-Simons path integral over $\mathbb{R}^3$. One rigorous and the other, not so rigorous, definitions will be given. The latter will be used to compute the Wilson Loop observable in the abelian case, which gives us the linking number of a link. .