An algebraic method for solving the SU(3) Gauss law
High Energy Physics - Theory
2007-05-23 v2
Abstract
A generalisation of existing SU(2) results is obtained. In particular, the source-free Gauss law for SU(3)-valued gauge fields is solved using a non-Abelian analogue of the Poincare lemma. When sources are present, the colour-electric field is divided into two parts in a way similar to the Hodge decomposition. Singularities due to coinciding eigenvalues of the colour-magnetic field are also analysed.
Cite
@article{arxiv.hep-th/0203195,
title = {An algebraic method for solving the SU(3) Gauss law},
author = {Antti Salmela},
journal= {arXiv preprint arXiv:hep-th/0203195},
year = {2007}
}
Comments
20 pages, LaTeX2e; references added, other changes minor; to appear in J. Math. Phys