Infinite Dimensional Analysis and the Chern-Simons Path Integral

TL;DR

This paper employs White Noise Analysis to rigorously define the gauge-fixed Chern-Simons path integral for arbitrary simple compact groups and specific links in a 3-manifold, advancing mathematical understanding of quantum gauge theories.

Contribution

It provides a rigorous mathematical implementation of the Chern-Simons path integral using White Noise Analysis for a broad class of gauge groups and links.

Findings

Rigorous formulation of Chern-Simons path integral

Applicable to arbitrary simple simply-connected compact groups

Handles specific ribbon links in S2xS1

Abstract

Using the framework of White Noise Analysis we give a rigorous implementation of the gauge fixed Chern-Simons path integral associated to an arbitrary simple simply-connected compact structure group G and a simple class of (ribbon) links in the base manifold M= S2xS1.