By means of Numerical Stochastic Perturbation Theory (NSPT), we calculate the lattice gluon propagator up to three loops of perturbation theory in the limits of infinite volume and vanishing lattice spacing. Based on known anomalous dimensions and a parametrization of both the hypercubic symmetry group H(4) and finite-size effects, we calculate the non-leading-log and non-logarithmic contributions iteratively, starting with the first-loop expression.
@article{arxiv.1010.5353,
title = {NSPT study of the three-loop lattice gluon propagator in Landau gauge},
author = {C. Torrero and F. Di Renzo and E. -M. Ilgenfritz and H. Perlt and A. Schiller},
journal= {arXiv preprint arXiv:1010.5353},
year = {2012}
}
Comments
7 pages, 6 figures, 1 table, presented at 28th International Symposium on Lattice Field Theory (Lattice 2010), Villasimius, Italy, 14-19 Jun 2010