An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization

TL;DR

This paper introduces a finite, gauge-invariant, non-perturbative QCD model using a specific renormalization approach that simplifies calculations and avoids divergences, applicable to high-energy scattering processes.

Contribution

It presents a novel non-perturbative renormalization scheme for QCD based on Effective Locality, leading to a finite, calculable theory with simplified graph contributions.

Findings

Only Bundle chain-Graphs contribute to renormalization.

The model yields a finite color-charge renormalization.

Application to high energy elastic pp scattering is in progress.

Abstract

A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, renormalized theory of QCD, in which all correlation functions can, in principle, be defined and calculated. In this Model of renormalization, only the Bundle chain-Graphs of the cluster expansion are non-zero. All Bundle graphs connecting to closed quark loops of whatever complexity, and attached to a single quark line, provided no 'self-energy' to that quark line, and hence no effective renormalization. However, the exchange of momentum between one quark line and another, involves only the cluster-expansion's chain graphs, and yields a set of contributions which can be summed and provide a finite color-charge renormalization that can be incorporated into all other QCD processes. An application to high energy elastic pp scattering is now underway.