Finite action Yang-Mills solutions on the group manifold
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.29, no.16, pp.5001-5005, 1996 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 29 Issue: 16
- Publication Date: 1996
- Doi Number: 10.1088/0305-4470/29/16/021
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.5001-5005
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: No
Abstract
We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan-Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3).