Asymptotic expansion of perturbative Chern–Simons theory via Wiener space

The Chern–Simons integral is divided into a sum of finitely many resp. infinitely many contributions. A mathematical meaning is given to the “finite part” and an asymptotic estimate of the other part is given, using the abstract Wiener space setting. The latter takes the form of an asymptotic expansion in powers of a charge, using the infinite-dimensional Malliavin–Taniguchi formula for a change of variables.