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Studying the infrared region in Landau gauge QCD

A. Sternbeck·E. -M. Ilgenfritz·M. Mueller-Preussker·A. Schiller
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Abstract

We report on the progress we made in studying the infrared behavior of the ghost and gluon dressing functions in Landau gauge. Related to this we also investigate a running coupling given in terms of those functions and compare our results to those coming from the Dyson-Schwinger approach. We present first numerical results for the SU(3) ghost-ghost-gluon vertex renormalization constant. In addition the spectrum of low-lying eigenvalues and eigenfunctions of the Faddeev-Popov operator is determined. The saturation of the ghost propagator in terms of those eigenvalues and eigenmodes is discussed at lower momenta.

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A. Sternbeck, E. -M. Ilgenfritz, M. Mueller-Preussker, A. Schiller. 2005-09-22. Studying the infrared region in Landau gauge QCD. https://arxiv.org/abs/hep-lat/0509090

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