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The lattice gluon propagator in renormalizable $\xi$ gauges

High Energy Physics - Lattice 2016-01-20 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We study the SU(3) gluon propagator in renormalizable RξR_\xi gauges implemented on a symmetric lattice with a total volume of (3.25 fm)4^4 for values of the guage fixing parameter up to ξ=0.5\xi=0.5. As expected, the longitudinal gluon dressing function stays constant at its tree-level value ξ\xi. Similar to the Landau gauge, the transverse RξR_\xi gauge gluon propagator saturates at a non-vanishing value in the deep infrared for all values of ξ\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.

Keywords

Cite

@article{arxiv.1505.05897,
  title  = {The lattice gluon propagator in renormalizable $\xi$ gauges},
  author = {P. Bicudo and D. Binosi and N. Cardoso and O. Oliveira and P. J. Silva},
  journal= {arXiv preprint arXiv:1505.05897},
  year   = {2016}
}

Comments

6 pages, 4 figures