Non-perturbative Power Corrections to Ghost and Gluon Propagators

Details Non-perturbative Power Corrections to Ghost and Gluon Propagators Non-perturbative Power Corrections to Ghost and Gluon Propagators

2005-07-07

arxiv.org/abs/hep-lat/0507005v2

JHEP 0601:037,2006

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 4 figures; replaced with revised version, to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/01/037

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.

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