Hadron-hadron total cross sections and soft high-energy scattering on the lattice

TL;DR

This paper explores a nonperturbative lattice approach to study soft high-energy hadron-hadron scattering, comparing numerical results with analytic techniques and investigating the energy dependence of total cross sections.

Contribution

It introduces a lattice-based method using Wilson-loop correlators to analyze the asymptotic behavior of hadron-hadron total cross sections at high energies.

Findings

Lattice results are consistent with certain analytic models.

Potential indications of cross section rise with energy are discussed.

Comparison between lattice data and nonperturbative analytic techniques.

Abstract

The nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Euclidean Wilson-loop correlation functions, makes possible the investigation of the problem of the asymptotic energy dependence of hadron-hadron total cross sections by means of lattice calculations. In this contribution we compare the lattice numerical results to analytic results obtained with various nonperturbative techniques. We also discuss the possibility to obtain indications of the rise of hadron-hadron total cross sections with energy directly from the lattice data.