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By means of Numerical Stochastic Perturbation Theory (NSPT), we calculate thelattice gluon propagator up to three loops of perturbation theory in the limitsof infinite volume and vanishing lattice spacing. Based on known anomalousdimensions and a parametrization of both the hypercubic symmetry group H(4) andfinite-size effects, we calculate the non-leading-log and non-logarithmiccontributions iteratively, starting with the first-loop expression.

NSPT study of the three-loop lattice gluon propagator in Landau gauge