Higher-loop gluon and ghost propagators in Landau gauge from numerical stochastic perturbation theory

TL;DR

This paper computes higher-loop corrections to gluon and ghost propagators in Landau gauge using numerical stochastic perturbation theory on the lattice, providing insights into their perturbative and nonperturbative components.

Contribution

It introduces a method to calculate higher-loop lattice propagators in Landau gauge and predicts their perturbative behavior as a function of lattice momenta.

Findings

Higher-loop lattice results for gluon and ghost propagators.

Predictions for the perturbative content of propagators.

Implementation of the Faddeev-Popov operator in Monte Carlo simulations.

Abstract

We present higher loop results for the gluon and ghost propagator in Landau gauge on the lattice calculated in numerical stochastic perturbation theory. We make predictions for the perturbative content of those propagators as function of the lattice momenta for finite lattices. To find out their nonperturbative contributions, the logarithmic definition of the gauge fields and the corresponding Faddeev-Popov operator have to be implemented in the Monte Carlo simulations.