On the Stratified Classical Configuration Space of Lattice QCD

Details On the Stratified Classical Configuration Space of Lattice QCD On the Stratified Classical Configuration Space of Lattice QCD

2004-09-29

arxiv.org/abs/hep-th/0409297v1

J.Geom.Phys. 55 (2005) 137-178

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 1 figure

Scientific paper

10.1016/j.geomphys.2004.12.002

The stratified structure of the configuration space $\mb G^N = G \times ... \times G$ reduced with respect to the action of $G$ by inner automorphisms is investigated for $G = SU(3) .$ This is a finite dimensional model coming from lattice QCD. First, the stratification is characterized algebraically, for arbitrary $N$. Next, the full algebra of invariants is discussed for the cases $N = 1$ and $N =2 .$ Finally, for $N = 1$ and $N =2 ,$ the stratified structure is investigated in some detail, both in terms of invariants and relations and in more geometric terms. Moreover, the strata are characterized explicitly using local cross sections.

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