Finite Action Yang-Mills Solutions on the Group Manifold
Loading...
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable one to construct solutions of the Yang-Mills equations 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 $SU(3)$.
10 pages LaTeX (REVTeX3.0, No Figures), To appear in J. Physics A: Mathematical and General
10 pages LaTeX (REVTeX3.0, No Figures), To appear in J. Physics A: Mathematical and General