NSPT study of the three-loop lattice gluon propagator in Landau gauge
C. Torrero (Regensburg U. & Pisa U.), F. Di Renzo (Parma U. & INFN,, Parma), E.-M. Ilgenfritz (Bielefeld U. & Humboldt U., Berlin), H. Perlt, (Leipzig U.), A. Schiller (Leipzig U.)
TL;DR
This paper uses Numerical Stochastic Perturbation Theory to compute the three-loop lattice gluon propagator in Landau gauge, accounting for finite-size and lattice spacing effects to improve precision.
Contribution
It provides the first three-loop perturbative calculation of the lattice gluon propagator in Landau gauge using NSPT, including non-leading-log and non-logarithmic terms.
Findings
Three-loop lattice gluon propagator computed
Finite-size and lattice spacing effects incorporated
Enhanced precision in perturbative lattice QCD results
Abstract
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.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research