The Glue Around Quarks and the Interquark Potential

TL;DR

This paper reviews the limitations of quark models in describing physical charges, introduces a method for constructing gauge-invariant charged particles, and analyzes the interquark potential, highlighting anti-screening effects and fundamental model limits.

Contribution

It presents a new approach to constructing gauge-invariant charged particles and analyzes the interquark potential, emphasizing anti-screening and model applicability limits.

Findings

Green's functions are free of infra-red divergences to all orders.

Interaction responsible for anti-screening is from gauge-invariant constituent quarks.

Identifies fundamental limits of quark model applicability.

Abstract

The quarks of quark models cannot be identified with the quarks of the QCD Lagrangian. We review the restrictions that gauge field theories place on any description of physical (colour) charges. A method to construct charged particles is presented. The solutions are applied to a variety of applications. Their Green's functions are shown to be free of infra-red divergences to all orders in perturbation theory. The interquark potential is analysed and it is shown that the interaction responsible for anti-screening results from the force between two separately gauge invariant constituent quarks. A fundamental limit on the applicability of quark models is identified.