Non-Perturbative Regge Exchange in Meson-Meson Scattering: An Analysis Based on the Stochastic Vacuum Model

TL;DR

This paper investigates meson-meson scattering in the Regge regime using the stochastic vacuum model, calculating reggeon parameters and including boundary fluctuation effects, with results aligning well with phenomenology.

Contribution

It introduces a non-perturbative approach to meson scattering using the stochastic vacuum model and Wilson contours, extending previous models with boundary fluctuation estimates.

Findings

Regge slope and intercept match phenomenological values

Boundary fluctuations significantly affect the scattering amplitude

Lattice-supported estimations validate the model's predictions

Abstract

Employing the Worldline casting of the Dosch-Simonov Stochastic Vacuum Model(SVM) for QCD, a simulated meson-meson scattering is studied in the Regge kinematical regime. The process is modelled in terms of the "helicoidal" Wilson contour first introduced by Janic and Peschanski in a related study based on an AdS/CFT-type approach. Using lattice supported estimations for the behavior of a two-point, field strength correlation function, as defined in the framework of the SVM, the reggeon slope and intercept are calculated in a semiclassical approximation. The resulting values are in good agreement with the accepted phenomenological ones. Going beyond this approximation, the contribution resulting from boundary fluctuations of the Wilson loop contour is also estimated.