Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work

TL;DR

This paper reviews the Hamiltonian approach to QCD in Coulomb gauge, demonstrating how Gribov's confinement scenario is realized through center vortex configurations and extending the analysis to finite temperatures with relevant thermodynamic results.

Contribution

It provides a detailed connection between Gribov's confinement scenario and the center vortex picture within the Hamiltonian framework, including finite temperature extensions.

Findings

Gribov's horizon condition and Coulomb string tension are induced by center vortex configurations.

The approach is extended to finite temperatures, providing thermodynamic quantities.

Results include pressure, energy density, interaction measure, and Polyakov loop.

Abstract

I will review essential features of the Hamiltonian approach to QCD in Coulomb gauge showing that Gribov's confinement scenario is realized in this gauge. For this purpose I will discuss in detail the emergence of the horizon condition and the Coulomb string tension. I will show that both are induced by center vortex gauge field configurations, which establish the connection between Gribov's confinement scenario and the center vortex picture of confinement. I will then extend the Hamiltonian approach to QCD in Coulomb gauge to finite temperatures, first by the usual grand canonical ensemble and second by the compactification of a spatial dimension. I will present results for the pressure, energy density and interaction measure as well as for the Polyakov loop.