On the Gauss Law and Global Charge for QCD

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 ${\mathbb{Z}}_3$-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 ${\mathbb{Z}}_3$-valued, additive quantity. Implications for continuous QCD are discussed.

16 pages

References in corpus (4)

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• Towards an Effective Field Theory of QED
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