Preprint 13/2001

On the Gauss law and global charge for QCD

Jerzy Kijowski and Gerd Rudolph

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Submission date: 18. May. 2001
Pages: 18
published in: Journal of mathematical physics, 43 (2002) 4, p. 1796-1808 
DOI number (of the published article): 10.1063/1.1447310
with the following different title: On the Gauss law and global charge for quantum chromodynamics
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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.

24.11.2021, 02:11