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Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling

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arxiv 0904.4033 v2 pith:IUTF2ZZM submitted 2009-04-26 hep-lat

classification hep-lat
keywords propagatorslatticemassiveanalysisbetaghostgluonlandau-gauge
verification ladder T0 review T1 audit T2 compute T3 formal
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We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare the lattice data to the so-called massive and conformal-scaling solutions, examining the requirements for a good description of the propagators over various ranges of momenta and discussing possible systematic errors. Our analysis strongly supports the massive solution, i.e. a finite gluon propagator and an essentially free ghost propagator in the infrared limit, in disagreement with Ref. [1]. Moreover, we argue that discretization effects play no role in the analysis of these propagators.

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  1. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    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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