A Classical Solution of Massive Yang-Mills Fields

TL;DR

This paper presents a new classical solution to the Yang-Mills equations with a mass term, inspired by lattice QCD results, which may contribute to understanding confinement in quantum chromodynamics.

Contribution

It introduces a novel classical solution to massive Yang-Mills equations, linking classical field theory with lattice QCD findings on gluon mass.

Findings

Proposes a classical solution for massive Yang-Mills fields.

Suggests potential role of the solution in confinement.

Connects classical solutions with lattice QCD results.

Abstract

Recent researches on the solution of Schwinger-Dyson equations, as well as lattice simulations of pure QCD, suggest that the gluon propagator is massive. In this letter, we assume that the classical counterpart of this massive gluon field may be represented with the equation of motion for Yang-Mills theory with a mass term added. A new classical solution is given for this equation. It is discussed that this solution may have some role in confinement.