Nonperturbative gluon and ghost propagators for d=3 Yang-Mills

TL;DR

This paper uses gauge-invariant Schwinger-Dyson equations to analyze nonperturbative gluon and ghost propagators in three-dimensional Yang-Mills theory, showing dynamical mass generation and agreement with lattice results.

Contribution

It introduces a gauge-invariant approach to solve Schwinger-Dyson equations for 3D Yang-Mills, revealing dynamical gluon mass and matching lattice data.

Findings

Gluon propagator becomes infrared finite due to dynamical mass.

Ghost dressing function remains finite in the infrared.

Results align well with SU(2) lattice simulations.

Abstract

We study a manifestly gauge invariant set of Schwinger-Dyson equations to determine the nonperturbative dynamics of the gluon and ghost propagators in $d=3$ Yang-Mills. The use of the well-known Schwinger mechanism, in the Landau gauge, leads to the dynamical generation of a mass for the gauge boson (gluon in $d=3$), which, in turn, gives rise to an infrared finite gluon propagator and ghost dressing function. The propagators obtained from the numerical solution of these nonperturbative equations are in very good agreement with the results of $SU(2)$ lattice simulations.