Exactly Soluble QCD and Confinement of Quarks

Details Exactly Soluble QCD and Confinement of Quarks Exactly Soluble QCD and Confinement of Quarks

1997-03-20

arxiv.org/abs/hep-th/9703142v4

Nucl.Phys. B507 (1997) 691-706

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX (substantial revision and reorganization of the text; the emphasis redirected to the physics of the approach;

Scientific paper

10.1016/S0550-3213(97)00604-4

An exactly soluble non-perturbative model of the pure gauge QCD is derived as a weak coupling limit of the lattice theory in plaquette formulation. The model represents QCD as a theory of the weakly interacting field strength fluxes. The area law behavior of the Wilson loop average is a direct result of this representation: the total flux through macroscopic loop is the additive (due to the weakness of the interaction) function of the elementary fluxes. The compactness of the gauge group is shown to be the factor which prevents the elementary fluxes contributions from cancellation. There is no area law in the non-compact theory.

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