Finite action Yang-Mills solutions on the group manifold

Creative Commons License

Dereli T., Schray J., Tucker R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.29, no.16, pp.5001-5005, 1996 (SCI-Expanded) identifier identifier


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).