Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-05-17
J.Phys.A29:5001-5005,1996
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages LaTeX (REVTeX3.0, No Figures), To appear in J. Physics A: Mathematical and General
Scientific paper
10.1088/0305-4470/29/16/021
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 $SU(3)$.
Dereli Tekin
Schray Jörg
Tucker Robin W.
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