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

Abstract

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/ p 2 power corrections to the ultraviolet asymptotic solutions are allowed as consistent solutions. This result supports the existence of the vacuum condensate 〈 A μ 2〉 with mass dimension 2, as recently suggested by the operator product expansion and lattice simulations.