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We study the dominant non-perturbative power corrections to the ghost and gluon propagators in Landau gauge pure Yang-Mills theory using OPE and lattice simulations. The leading order Wilson coefficients are proven to be the same for both propagators. The ratio of the ghost and gluon propagators is thus free from this dominant power correction. Indeed, a purely perturbative fit of this ratio gives smaller value ($simeq 270$MeV) of $Lambda_{ms}$ than the one obtained from the propagators separately($simeq 320$MeV). This argues in favour of significant non-perturbative $sim 1/q^2$ power corrections in the ghost and gluon propagators. We check the self-consistency of the method.
In QCD both the quark and ghost propagators are important for governing the non-perturbative dynamics of the theory. It turns out that the dynamical properties of the quark and ghost fields impose non-perturbative constraints on the analytic structur
We derive the form of the infrared gluon propagator by proving a mapping in the infrared of the quantum Yang-Mills and $lambdaphi^4$ theories. The equivalence is complete at a classical level. But while at a quantum level, the correspondence is spoil
Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pade approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau gauge gluon p
We study the gluon and ghost propagators of SU(2) lattice Landau gauge theory and find their low-momentum behavior being sensitive to the lowest non-trivial eigenvalue (lambda_1) of the Faddeev-Popov operator. If the gauge-fixing favors Gribov copies
We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $Lambda_{text{QCD}}$ - the fundament