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

Charzyński, S.; Rudolph, G.; Schmidt, M.

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

Authors

Charzyński, S.

Rudolph, G.

Schmidt, M.

Description

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.
33 pages, 3 figures