MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

On the Gauss law and global charge for QCD

Jerzy Kijowski and Gerd Rudolph


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.


Related publications

2002 Repository Open Access
Jerzy Kijowski and Gerd Rudolph

On the Gauss law and global charge for quantum chromodynamics

In: Journal of mathematical physics, 43 (2002) 4, pp. 1796-1808