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MiS Preprint
13/2001
On the Gauss law and global charge for QCD
Jerzy Kijowski and Gerd Rudolph
Abstract
The local Gauss law of quantum chromodynamics on a finite lattice is investigated. It is shown that it implies a gauge invariant, additive law giving rise to a gauge invariant Z3-valued global charge in QCD. The total charge contained in a region of the lattice is equal to the flux through its boundary of a certain Z3-valued, additive quantity. Implications for continuous QCD are discussed.