Classical Solutions of SU(3) Pure Yang-Mills Theory

TL;DR

This paper computes regular classical solutions of pure SU(3) gauge theories in Minkowski spacetime, revealing their potential to produce quark confinement and affecting quark propagator behavior.

Contribution

It provides explicit classical solutions in Landau gauge with an intrinsic energy scale, linking them to quark confinement mechanisms.

Findings

Classical solutions have an intrinsic energy scale.

Solutions produce a nonrelativistic quark potential.

Quark propagator vanishes at large separations.

Abstract

Regular classical solutions of pure SU(3) gauge theories, in Minkowsky spacetime, are computed in the Landau gauge. The classical fields have an intrinsic energy scale and produce quark confinement if interpreted in the sense of a nonrelativistic potential. Moreover, the quark propagator in the background of these fields vanishes at large positive and negative time and space separations.