AGK in the parton model

TL;DR

This paper introduces a quantum parton model for soft interactions, deriving AGK cancellations and cutting rules through a discretized transverse plane approach, and explores black disk behavior.

Contribution

It presents a novel quantum parton model based on eikonal interactions and discretization, deriving AGK rules directly from parton distributions.

Findings

Derived AGK cancellations and cutting rules from the model

Explicit construction of S-matrix and Fock space for soft partons

Discussion of black disk behavior within the model

Abstract

We propose pure quantum parton model of soft interactions. The model is based on soft partons which interact eikonally and locally in a transverse plane. We directly construct S-matrix operator and partons Fock space using developed method of discretization of a transverse plane. Counting inelastic states we explicitly derive AGK cancellations and cutting rules from relation between inclusive and exclusive parton distributions. We also discuss black disk behavior from the point of view of our model.