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Aspects of confinement from QCD correlation functions

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional equations: scaling and decoupling. Both solutions show positivity v...

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Hauptverfasser: Fischer, Christian S. (VerfasserIn) , Maas, Axel Torsten (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 2008
In: Arxiv

Online-Zugang:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0812.2745
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Verfasserangaben:Christian S. Fischer, Institute for Nuclear Physics, Darmstadt University of Technology, Schlossgartenstraße 9, 64289 Darmstadt, Germany, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291 Darmstadt, Germany; Axel Maas, Institut für Physik, Karl-Franzens Universität Graz, Universitätsplatz 5, A-8010 Graz, Austria; Jan M. Pawlowski, Institut für Theoretische Physik, University of Heidelberg, Philosophenweg 16, D-62910 Heidelberg, Germany

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520 |a We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional equations: scaling and decoupling. Both solutions show positivity violations in the gluon propagator and lead to a confining Polyakov loop potential. However, only the scaling solution agrees with the Kugo-Ojima confinement scenario and the related formulation of a physical Hilbert space of Yang-Mills theory. Our numerical results for the gluon dressing function agree almost pointwise with the lattice results at all physical momenta. 
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