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Chern-Simons Path Integral on R3 Using Abstract Wiener Measure

Commun. Math. Anal.
Volume 11, Number 2 (2011), 1 - 22

Chern-Simons Path Integral on RUsing Abstract Wiener Measure

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Abstract

Instead of using white noise analysis, we use abstract Wiener measure to define the Chern-Simons path integral over $R^3$. 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.