Asymptotic high-energy behavior of hadronic total cross sections from lattice QCD

TL;DR

This paper demonstrates how lattice QCD indicates that hadronic total cross sections grow asymptotically as B log^2 s, aligning with Froissart-like behavior, using a functional integral approach involving Wilson loop correlations.

Contribution

It provides the first lattice QCD evidence supporting the Froissart-like high-energy growth of hadronic cross sections through Wilson loop correlation functions.

Findings

Lattice QCD suggests a B log^2 s growth of cross sections at high energy.

The functional integral approach effectively captures the energy dependence of scattering amplitudes.

Wilson loop correlations encode the asymptotic behavior of hadronic interactions.

Abstract

We will show how a universal and Froissart-like (i.e., of the kind "B log^2 s") hadron-hadron total cross section can emerge in QCD asymptotically at high energy, finding indications for this behavior from the lattice. The functional integral approach provides the natural setting for achieving this result, since it encodes the energy dependence of hadronic scattering amplitudes in a single elementary object, i.e., a proper correlation function of two Wilson loops.