Some Problems in Defining Functional Integration over the Gauge Group

TL;DR

The paper discusses potential issues with the standard approach to defining functional integration over gauge groups, highlighting possible internal difficulties in the limiting process.

Contribution

It identifies problems in the conventional limiting process used for functional integration over gauge groups, suggesting the need for alternative definitions.

Findings

Standard limiting process can have internal difficulties

Potential inconsistencies in defining functional integration

Highlights need for revised approaches

Abstract

We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.