Exactly Soluble QCD and Confinement of Quarks
B.Rusakov (Oxford University)
TL;DR
This paper introduces an exactly solvable non-perturbative model of pure gauge QCD derived from lattice theory, demonstrating how flux interactions lead to confinement and the area law behavior of Wilson loops.
Contribution
It presents a novel exactly soluble model of QCD as weakly interacting fluxes, providing insights into confinement mechanisms and the role of gauge group compactness.
Findings
The model exhibits area law behavior for Wilson loops.
Flux contributions are additive due to weak interactions.
Non-compact theories do not show area law behavior.
Abstract
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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