The gluon mass gap, defined as the complex pole of the gluon propagator, is linearly tied to the deconfinement temperature, and both Tc and fπ are insensitive to deep-infrared deformations below the infrared inflection point.
Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
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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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Physics of the gluon mass gap
The gluon mass gap, defined as the complex pole of the gluon propagator, is linearly tied to the deconfinement temperature, and both Tc and fπ are insensitive to deep-infrared deformations below the infrared inflection point.