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The lattice gluon propagator in renormalizable $\xi$ gauges
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abstract
We study the SU(3) gluon propagator in renormalizable $R_\xi$ gauges implemented on a symmetric lattice with a total volume of (3.25 fm)$^4$ for values of the guage fixing parameter up to $\xi=0.5$. As expected, the longitudinal gluon dressing function stays constant at its tree-level value $\xi$. Similar to the Landau gauge, the transverse $R_\xi$ gauge gluon propagator saturates at a non-vanishing value in the deep infrared for all values of $\xi$ studied. We compare with very recent continuum studies and perform a simple analysis of the found saturation with a dynamically generated effective gluon mass.
Forward citations
Cited by 2 Pith papers
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Toward precise $\xi$ gauge fixing for the lattice QCD
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.
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Gluon mass scale through the Schwinger mechanism
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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