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On the infrared behavior of Landau gauge Yang–Mills theory
Authors:Christian S. Fischer   Axel Maas  Jan M. Pawlowski
Affiliation:aInstitut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 9, D-64289 Darmstadt, Germany;bGSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstraße 1, D-64291 Darmstadt, Germany;cInstitut für Physik, Karl-Franzens Universität Graz, Universitätsplatz 5, A-8010 Graz, Austria;dInstitut für Theoretische Physik, University of Heidelberg, Philosophenweg 16, D-62910 Heidelberg, Germany
Abstract:We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang–Mills theory. Within the framework of Dyson–Schwinger equations and the functional renormalization group we demonstrate that it is only a matter of infrared boundary conditions whether infrared scaling or decoupling occurs. We argue that the second possibility is at odds with global BRST symmetry in the confining phase. For this purpose we improve upon existing truncation schemes in particular with respect to transversality and renormalization.
Keywords:Confinement   Infrared properties of Yang–  Mills theory   Dyson–  Schwinger equations   Functional renormalisation group
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