An algebraic method for solving the SU(3) Gauss law

Details An algebraic method for solving the SU(3) Gauss law An algebraic method for solving the SU(3) Gauss law

2002-03-21

arxiv.org/abs/hep-th/0203195v2

J.Math.Phys. 44 (2003) 2521-2533

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX2e; references added, other changes minor; to appear in J. Math. Phys

Scientific paper

10.1063/1.1572198

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.

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