Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge

TL;DR

This paper computes the gluon propagator in SU(3) lattice gauge theory using Numerical Stochastic Perturbation Theory, providing high-loop results to compare with non-perturbative lattice simulations and analyze their non-perturbative content.

Contribution

It presents a detailed perturbative calculation of the gluon propagator up to four loops in lattice QCD, including continuum and infinite volume extrapolations.

Findings

Gluon propagator computed up to four loops.

Non-logarithmic constants extrapolated to continuum limit.

Results facilitate comparison with non-perturbative lattice data.

Abstract

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to reveal the genuinely non-perturbative content of the latter. The gluon propagator is computed by means of Numerical Stochastic Perturbation Theory: results range from two up to four loops, depending on the different lattice sizes. The non-logarithmic constants for one, two and three loops are extrapolated to the lattice spacing $a \to 0$ continuum and infinite volume $V \to \infty$ limits.