$H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

Abstract

The use of lattice tensor representations is explored to investigate the lattice Landau gauge gluon propagator for the pure SU(3) Yang-Mills gauge theory in 4D. The analysis of several tensor bases allows to quantify the completeness of the various tensor bases considered, the deviations of the lattice results from the continuum theory due to the lattice artefacts and estimate the theoretical uncertainty in the propagator. Furthermore, our analysis tests continuum based relations with the lattice data and show that the lattice Landau gauge gluon propagator is described by a unique form factor, as in the continuum formulation.

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• Ghost dynamics in the soft gluon limit
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• The lattice Landau gauge photon propagator for 4D compact QED
• Restoring rotational invariance for lattice QCD propagators
• Gluon correlation functions from lattice quantum chromodynamics
• Another look at the Landau gauge three-gluon vertex