Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics

TL;DR

This paper explores a variational Hamiltonian method combined with Dyson--Schwinger equations to analyze non-perturbative aspects of Quantum Chromodynamics, successfully reproducing key phenomena like chiral symmetry breaking.

Contribution

It introduces a novel integration of variational Hamiltonian techniques with Dyson--Schwinger equations in Coulomb gauge for QCD analysis.

Findings

Chiral condensate consistent with experimental data

One-loop renormalized quark propagator dressing

Framework applicable to non-perturbative QCD studies

Abstract

The variational Hamiltonian approach to Quantum Chromodynamics in Coulomb gauge is investigated within the framework of the canonical recursive Dyson--Schwinger equations. The dressing of the quark propagator arising from the variationally determined non-perturbative kernels is expanded and renormalized at one-loop order, yielding a chiral condensate compatible with the observations.