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

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