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

S. Charzyński; G. Rudolph; M. Schmidt

doi:10.1016/j.geomphys.2008.07.005

paper

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

arXiv:hep-th/0512129 · doi:10.1016/j.geomphys.2008.07.005

Abstract

We study the topological structure of the quotient of $S U (3) \times S U (3)$ 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