# Lattice Gluon Propagator and One-Gluon-Exchange Potential

## TL;DR

This paper investigates the interquark potential using a nonperturbative gluon propagator from lattice QCD, showing the limitations of the one-gluon-exchange approximation and proposing an improved potential for quarkonium spectra.

## Contribution

It introduces a nonperturbative lattice-based gluon propagator into the OGE approximation and enhances the potential with a linear term to better match quarkonium spectra.

## Key findings

- The VLGP potential is non-confining and insufficient for the infrared sector.
- Adding a linear term improves the potential's agreement with observed spectra.
- Estimated interquark distances for charmonium and bottomonium states.

## Abstract

We consider the interquark potential in the one-gluon-exchange (OGE) approximation, using a fully nonperturbative gluon propagator from large-volume lattice simulations. The resulting VLGP potential is non-confining, showing that the OGE approximation is not sufficient to describe the infrared sector of QCD. Nevertheless, it represents an improvement over the perturbative (Coulomb-like) potential, since it allows the description of a few low-lying bound states of charmonium and bottomonium. In order to achieve a better description of these spectra, we add to VLGP a linearly growing term. The obtained results are comparable to the corresponding ones in the Cornell-potential case. As a byproduct of our study, we estimate the interquark distance for the considered charmonium and bottomonium states.