Nonperturbative approach to the parton model

TL;DR

This paper presents a nonperturbative method for deriving parton distributions from Lorentz-contracted wave functions, avoiding divergences of perturbative approaches and offering insights into high-energy scattering phenomena.

Contribution

It introduces a nonperturbative framework for parton distributions based on wave functions, contrasting with standard perturbative methods and exploring implications for high-energy processes.

Findings

Nonperturbative distributions lack collinear and IR divergences.

At high momenta, bremsstrahlung kinematics are recovered.

Potential role of multihybrid states in high-energy scattering phenomena.

Abstract

The nonperturbative parton distributions, obtained from the Lorentz contracted wave functions, are analyzed in the formalism of many-particle Fock components and their properties are compared to the standard perturbative distributions. We show that the collinear and IR divergencies specific for perturbative evolution treatment are absent in the nonperturbative version, however for large momenta< $ \vep^2_i \gg \sigma$ (string tension), the bremsstrahlung kinematics is restored. A preliminary discussion of possible nonperturbative effects in DIS and high energy scattering is given, including in particular a possible role of multihybrid states in creating ridge-type effects.