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

Abstract

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.

arXiv comment33 pages, 3 figures

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Cited by in corpus (7)

• A gauge model for quantum mechanics on a stratified space
• A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics
• Defining relations for the orbit type strata of SU(2)-lattice gauge models
• On the Reflection Type Decomposition of the Adjoint Reduced Phase Space of a Compact Semisimple Lie group
• The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory
• Gauge Orbit Types for Theories with Classical Compact Gauge Group
• Quasicharacters, recoupling calculus and costratifications of lattice quantum gauge theory