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.

16 pages, 1 figure, completely revised version

References in corpus (4)

• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory

Cited by in corpus (2)

• Ghost condensation on the lattice
• Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory