On the Topology of the Reduced Classical Configuration Space of Lattice QCD

Details On the Topology of the Reduced Classical Configuration Space of Lattice QCD On the Topology of the Reduced Classical Configuration Space of Lattice QCD

2005-12-12

arxiv.org/abs/hep-th/0512129v2

J.Geom.Phys.58:1607-1623,2008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 3 figures

Scientific paper

10.1016/j.geomphys.2008.07.005

We study the topological structure of the quotient of $SU(3)\times SU(3)$ by diagonal conjugation. This is the simplest nontrivial example for the classical reduced configuration space of chromodynamics on a spatial lattice in the Hamiltonian approach. We construct a cell complex structure of the quotient in such a way that the closures of strata are subcomplexes and we compute the homology and cohomology groups of the strata and their closures.

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