# The Landshoff-Nachtmann Pomeron on the Lattice

## TL;DR

This paper tests the Landshoff-Nachtmann Pomeron model using lattice QCD gluon propagators, providing first-principles predictions for diffractive processes and checking the model's consistency within quenched QCD.

## Contribution

It offers a lattice QCD-based evaluation of the Landshoff-Nachtmann Pomeron model and predicts diffractive process outcomes from first principles.

## Key findings

- Effective gluon-quark coupling determined from phenomenology
- Predictions for various diffractive processes consistent with the model
- Initial assessment of gauge dependence in the results

## Abstract

We investigate the Landshoff-Nachtmann two-gluon-exchange model of the Pomeron using gluon propagators computed in the Landau gauge within quenched lattice QCD calculations. We first determine an effective gluon-quark coupling by constraining the Pomeron-quark coupling to its phenomenological value $\beta_0 = 2\, \gev^{-1}$. We then provide predictions for a variety of diffractive processes. As the propagators have been evaluated entirely from QCD first principles (although in the quenched approximation), our results provide a consistency check of the Landshoff-Nachtmann model. We address the issue of the possible gauge-dependence of our results, which will be the object of a future study.