Mass gap and quark confinement due to a novel vacuum condensate in Yang-Mills theory

We propose a novel Ansatz to find the infrared and ultraviolet asymptotic solutions to the coupled Schwinger-Dyson equation for the gluon and Faddeev-Popov ghost propagation in Yang-Mills theory. We show that there does not exist a logarithmic correction to the infrared asymptotic solution with power behavior which has recently been found for the gluon and Faddeev-Popov ghost propagators in the Landau gauge. On the other hand, we show that the 1/p2 power corrections to the ultraviolet asymptotic solutions are allowed as consistent solutions. This result supports the existence of the vacuum condensate with mass dimension 2, as recently suggested by the operator product expansion and lattice simulations