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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s1 (2006), pp. 441-448
On the Structure of the Reduced Configuration Space of Classical Lattice Chromodynamics
M. Schmidt
Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany
go backInstitut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany
Abstract. The reduced configuration space of a pure SU(3)-gauge theory on a spatial lattice consisting of 2 plaquettes is studied. In a sense, this is the building block for the reduced configuration space of a general finite lattice. First, by means of invariant theory, a description of the space as a semialgebraic set is given and the equations and inequalities defining the strata are derived. Second, a cell complex structure is constructed and the homology groups of the space and of its strata are computed.