Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory

TL;DR

This paper computes ghost and gluon propagators in SU(3) lattice gauge theory up to three and four loops using Numerical Stochastic Perturbation Theory, aiming to compare with non-perturbative lattice results.

Contribution

It provides high-loop perturbative calculations of propagators in lattice QCD, extending previous work and facilitating comparison with non-perturbative data.

Findings

Computed propagators up to four loops in Landau gauge.

Presented results in the infinite volume and continuum limits.

Developed a fitting strategy for data analysis.

Abstract

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative content of the latter. By means of Numerical Stochastic Perturbation Theory we compute the ghost and gluon propagators in Landau gauge up to three and four loops. We present results in the infinite volume and $a \to 0$ limits, based on a general fitting strategy.