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Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass

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arxiv 1809.05776 v1 pith:DJEASHNB submitted 2018-09-15 hep-ph

classification hep-ph
keywords discretizationartifactsbeeneffectsextrapolationgauge-fieldpropagatorsrenormalized
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The $SU(3)$ gauge-field propagators computed from the lattice have been exhaustively used in the investigation of the low-momentum dynamics of QCD, in a judicious interplay with results from other nonperturbative approaches, and for the extraction of fundamental parameters of QCD like $\Lambda_{\overline{\rm MS}}$ as well. The impact of the discretization artifacts and their role in the extrapolation of the results to the continuum limit have not been fully understood so far. We report here about a very careful analysis of the physical scaling violation of the Landau-gauge propagators renormalized in MOM scheme and the Taylor coupling, steering us towards an insightful understanding of the effects from discretization artifacts which makes therefore possible a reliable continuum-limit extrapolation.

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Cited by 4 Pith papers

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    An empirical precision-extrapolation method reproduces the ξ-dependent RI/MOM renormalization constants of quark bilinear operators on the lattice to 0.2-0.3% for ξ up to 1.

  3. Physics of the gluon mass gap

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  4. 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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