On the Gauss Law and Global Charge for QCD

Details On the Gauss Law and Global Charge for QCD On the Gauss Law and Global Charge for QCD

2001-04-05

arxiv.org/abs/hep-th/0104052v1

J.Math.Phys. 43 (2002) 1796-1808

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1063/1.1447310

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.

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