A Note on Invariant Measure on the Local Gauge Group

Details A Note on Invariant Measure on the Local Gauge Group A Note on Invariant Measure on the Local Gauge Group

2001-11-21

arxiv.org/abs/hep-th/0111184v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, REVTEX

Scientific paper

In this paper we investigated the problem of the existence of invariant
meaures on the local gauge group. We prove that it is impossible to define a
{\it finite} translationally invariant measure on the local gauge group
$C^{\infty}({\bf R}^n,G)$(where $G$ is an arbitrary matrix Lie group).

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