Leading order infrared quantum chromodynamics in Coulomb gauge

TL;DR

This paper develops a truncation scheme for Dyson-Schwinger equations in Coulomb gauge QCD, analyzing infrared behavior and establishing connections to the heavy quark limit, revealing a dynamical infrared mass scale.

Contribution

It introduces a new truncation scheme based on an Ansatz for the Coulomb kernel in Coulomb gauge QCD and compares results with Hamiltonian approaches.

Findings

Equations for gluon and quark propagators match quasi-particle approximations.

A nontrivial infrared mass scale emerges dynamically.

Connections to the heavy quark limit are established.

Abstract

A truncation scheme for the Dyson-Schwinger equations of quantum chromodynamics in Coulomb gauge within the first order formalism is presented. The truncation is based on an Ansatz for the Coulomb kernel occurring in the action. Results at leading loop order and in the infrared are discussed for both the Yang-Mills and quark sectors. It is found that the resulting equations for the static gluon and quark propagators agree with those derived in a quasi-particle approximation to the canonical Hamiltonian approach. Moreover, a connection to the heavy quark limit is established. The equations are analyzed numerically and it is seen that in both the gluonic and quark sectors, a nontrivial dynamical infrared mass scale emerges.