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Gauge fixing and the gluon propagator in renormalizable xi gauges

P. Bicudo, D. Binosi, N. Cardoso, O. Oliveira, P.J. Silva
Covariant Rξ gauge fixing is notoriously difficult for large lattice volumes, large ξ and small Nc. We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume of (3.25 fm)^4, up to ξ=0.5. We are able to study the gluon propagator in the infrared region and its dependence on the gauge fixing parameter ξ. As expected, the longitudinal gluon dressing functions stay constant at their tree-level value ξ. Similar to the Landau gauge, the transverse Rξ gauge gluon propagators saturate at a non-vanishing value in the deep infrared for all values of ξ studied. We compare with very recent continuum studies and perform a simple analysis of the found saturation with a dynamically generated effective gluon mass.
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PoS Lattice (2015)