Asymptotic Expansion of the One-Loop Approximation of the Chern-Simons Integral in an Abstract Wiener Space Setting

TL;DR

This paper develops a rigorous mathematical model for the one-loop approximation of the Chern-Simons integral within an abstract Wiener space, providing explicit asymptotic expansions for stochastic Wilson lines.

Contribution

It introduces a novel rigorous framework for the one-loop approximation of the Chern-Simons integral in an abstract Wiener space setting.

Findings

Explicit asymptotic expansion derived for stochastic Wilson lines

Rigorous mathematical model constructed for the one-loop approximation

Framework applicable to perturbative Chern-Simons theory

Abstract

In an abstract Wiener space setting, we constract a rigorous mathematical model of the one-loop approximation of the perturbative Chern-Simons integral, and derive its explicit asymptotic expansion for stochastic Wilson lines.