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25 April 2024
 
  » arxiv » gr-qc/9605036

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Finite Action Yang-Mills Solutions on the Group Manifold
T Dereli ; J Schray ; Robin W Tucker ;
Date 17 May 1996
Journal J.Phys. A29 (1996) 5001-5005
Subject gr-qc
AbstractWe 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 $SU(3)$.
Source arXiv, gr-qc/9605036
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