2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190467In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of the transverse gluons from the physical spectrum, i.e. gluon confinement. A simple analytic structure for the gluon propagator is proposed capturing all important features. We provide arguments that the Landau gauge quark propagator possesses a singularity on the real timelike axis. For this propagator we find a positive definite Schwinger function.6 pages, 3 figures; summary of a talk given at several occasions; to be published in the proceedings of the international conference QCD DOWN UNDER, March 10 - 19, Adelaide, AustraliaHigh Energy Physics - PhenomenologyHigh Energy Physics - LatticeHigh Energy Physics - TheoryNuclear Theorytext