Recent results from the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

TL;DR

This paper presents continuum Hamiltonian approach results for Yang-Mills theory in Coulomb gauge, demonstrating confinement, matching lattice data, and exploring the vacuum's dielectric properties and topological features.

Contribution

It provides a variational solution to the Yang-Mills Schrödinger equation in Coulomb gauge, linking confinement mechanisms with the Gribov-Zwanziger scenario and vacuum properties.

Findings

Gluon and ghost propagators show confinement consistent with lattice data.

Ghost form factor acts as the dielectric function of the vacuum.

Topological susceptibility is quantitatively calculated.

Abstract

Within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in good agreement with lattice data. The ghost form factor is identified as the dielectric function of the Yang--Mills vacuum and the Gribov-Zwanziger confinement scenario is shown to imply the dual Meissner effect. The topological susceptibility is calculated.