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A Note on Invariant Measure on the Local Gauge Group

High Energy Physics - Theory 2007-05-23 v1

Abstract

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(Rn,G)C^{\infty}({\bf R}^n,G)(where GG is an arbitrary matrix Lie group).

Keywords

Cite

@article{arxiv.hep-th/0111184,
  title  = {A Note on Invariant Measure on the Local Gauge Group},
  author = {Wei-Min Sun and Xiang-Song Chen and Fan Wang},
  journal= {arXiv preprint arXiv:hep-th/0111184},
  year   = {2007}
}

Comments

4 pages, REVTEX