# Locating the Gribov horizon

## TL;DR

This paper investigates the consistency of a tree-level gluon propagator expression with lattice QCD results, suggesting that dynamical gluon mass generation may resolve the Gribov ambiguity.

## Contribution

It proposes a link between the gluon mass scale and the Gribov horizon, supporting the idea that dynamical mass generation can eliminate gauge ambiguities.

## Key findings

- Gluon mass and horizon scale are approximately 0.5 GeV.
- Tree-level expression aligns with lattice QCD propagator under certain constraints.
- Dynamical gluon mass may suffice to resolve Gribov ambiguity.

## Abstract

We explore whether a tree-level expression for the gluon two-point function, supposed to express effects of an horizon term introduced to eliminate the Gribov ambiguity, is consistent with the propagator obtained in simulations of lattice-regularised quantum chromodynamics (QCD). In doing so, we insist that the gluon two-point function obey constraints that ensure a minimal level of consistency with parton-like behaviour at ultraviolet momenta. In consequence, we are led to a position which supports a conjecture that the gluon mass and horizon scale are equivalent emergent mass-scales, each with a value of roughly $0.5\,$GeV; and wherefrom it appears plausible that the dynamical generation of a running gluon mass may alone be sufficient to remove the Gribov ambiguity.