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Landau Gauge Gluon and Ghost Propagators from Lattice QCD

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arxiv hep-lat/0609043 v2 pith:C5C7YJIW submitted 2006-09-25 hep-lat

E.-M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller , I. L. Bogolubsky This is my paper · ORCID
classification hep-lat
keywords gluonlatticevertexbelowconstanteffectsgaugeghost
verification ladder T0 review T1 audit T2 compute T3 formal
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We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon vertex function in pure SU(3) Yang-Mills theory and in full QCD on the lattice. Special emphasis is paid to the low momentum region. In particular, we present new data for the gluon propagator at momenta below 300 MeV. We also discuss different systematic effects as there are finite-size, lattice discretization and Gribov copy but also unquenching effects. A MOM-scheme running coupling \alpha_s(q^2) based on the ghost-gluon vertex is calculated and found to decrease for momenta below 550 MeV, even though the renormalization constant of the vertex deviates only weakly from being constant.

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  1. Gluon mass scale through the Schwinger mechanism

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    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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