Infrared propagators of Yang-Mills theory from perturbation theory

TL;DR

This paper demonstrates that a one-loop perturbative approach with a massive extension of the Faddeev-Popov action accurately reproduces the ghost and gluon propagators of pure Yang-Mills theory across different dimensions, aligning well with lattice results.

Contribution

It introduces a massive extension of the Faddeev-Popov action that enables accurate one-loop calculations of Yang-Mills propagators across multiple dimensions.

Findings

Excellent agreement with lattice data in four dimensions

Reproduces characteristic features of three-dimensional propagators

Explains peculiarities observed in two-dimensional propagators

Abstract

We show that the correlation functions of ghosts and gluons for the pure Yang-Mills theory in Landau gauge can be accurately reproduced for all momenta by a one-loop calculation. The key point is to use a massive extension of the Faddeev-Popov action. The agreement with lattice simulation is excellent in d=4. The one-loop calculation also reproduces all the characteristic features of the lattice simulations in d=3 and naturally explains the pecularities of the propagators in d=2.