The Infrared Behaviour of the Pure Yang-Mills Green Functions

TL;DR

This paper reviews the infrared behavior of pure Yang-Mills Green functions, focusing on decoupling and scaling solutions in Landau gauge, integrating Dyson-Schwinger equations and lattice QCD results to understand low-momentum properties.

Contribution

It provides a comprehensive comparison of decoupling and scaling solutions for Yang-Mills correlators, emphasizing the interplay between Dyson-Schwinger equations and lattice QCD analyses.

Findings

Decoupling and scaling solutions are both viable in infrared Yang-Mills theory.

Lattice QCD and Dyson-Schwinger equations offer complementary insights.

Proper integration of both approaches enhances understanding of low-momentum behavior.

Abstract

We review the infrared properties of the pure Yang-Mills correlators and discuss recent results concerning the two classes of low-momentum solutions for them reported in literature; i.e. decoupling and scaling solutions. We will mainly focuss on the Landau gauge and pay special attention to the results inferred from the analysis of the Dyson-Schwinger equations of the theory and from "{\it quenched}" lattice QCD. The results obtained from properly interplaying both approaches are strongly emphasized.