Consistent power corrections to ultraviolet asymptotic solutions in Yang-Mills theory

Abstract

We show that the $1/p^2$ power corrections to the ultraviolet asymptotic solutions are allowed as consistent solutions of the coupled Schwinger-Dyson equation for the gluon and (Faddeev-Popov) ghost propagators in Yang-Mills theory. This result supports the existence of the vacuum condensate $<A_{\mu }^2>$ with mass dimension 2, as recently suggested by the operator product expansion and lattice simulations. We compare the solution with the result of operator product expansion.

Comments: 16 pages, 1 figure, completely revised version