An interplay between static potential and Reggeon trajectory for QCD string

TL;DR

This paper investigates the relationship between static potential and Reggeon trajectories in QCD strings, using mean-field approximation in high dimensions, and compares non-perturbative string effects with perturbative QCD for scattering predictions.

Contribution

It demonstrates that mean-field approximation provides an exact solution for QCD string descriptions of static potential and Regge regime scattering, linking effective string theory with experimental phenomena.

Findings

Mean-field approximation is justified and exact in high dimensions.

QCD string contributions differ from perturbative QCD in scattering amplitudes.

Discussion of experimental implications for meson scattering.

Abstract

I consider two cases where QCD string is described by an effective theory of long strings: the static potential and meson scattering amplitudes in the Regge regime. I show how they can be solved in the mean-field approximation, justified by the large number of space-time dimensions, and argue that it turns out to be exact. I compare contributions from QCD string and perturbative QCD and discuss experimental consequences for the scattering amplitudes.