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arXiv · 1505.05897

The lattice gluon propagator in renormalizable $ξ$ gauges

P. Bicudo·D. Binosi·N. Cardoso·O. Oliveira·P. J. Silva
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Abstract

We study the SU(3) gluon propagator in renormalizable $R_ξ$ gauges implemented on a symmetric lattice with a total volume of (3.25 fm)$^4$ for values of the guage fixing parameter up to $ξ=0.5$. As expected, the longitudinal gluon dressing function stays constant at its tree-level value $ξ$. Similar to the Landau gauge, the transverse $R_ξ$ gauge gluon propagator saturates 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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P. Bicudo, D. Binosi, N. Cardoso, O. Oliveira, P. J. Silva. 2015-05-21. The lattice gluon propagator in renormalizable $ξ$ gauges. https://doi.org/10.1103/physrevd.92.114514

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