Instantaneous Dynamics of QCD

TL;DR

This paper investigates the instantaneous color-Coulomb potential in Coulomb gauge within QCD's confining phase, proposing a calculational scheme based on local formulations with a Gribov horizon cutoff.

Contribution

It introduces a new calculational approach focusing on instantaneous dynamics in QCD, emphasizing the role of the Gribov horizon in confinement.

Findings

The instantaneous color-Coulomb potential is confining in the confining phase.

A local formulation of QCD with a Gribov horizon cutoff is developed.

The scheme highlights the dominance of instantaneous terms in QCD dynamics.

Abstract

We start from the observation that, in the confining phase of QCD, the instantaneous color-Coulomb potential in Coulomb gauge is confining. This suggests that, in the confining phase, the dynamics, as expressed in the set of Schwinger-Dyson equations, may be dominated by the purely instantaneous terms. We develop a calculational scheme that expresses the instantaneous dynamics in the local formulation of QCD that includes a cut-off at the Gribov horizon.