On QCD and Effective Locality

TL;DR

This paper proves that the property of effective locality, which simplifies quark scattering amplitudes, holds universally for all quark processes without approximation, extending previous specific cases.

Contribution

It generalizes the concept of effective locality to all quark processes, demonstrating its exactness and broad applicability in QCD.

Findings

Effective locality holds for all quark processes.

Gauge invariance transforms functional integrals into local integrals.

Simplifies calculations of quark scattering amplitudes.

Abstract

In a recent paper it was shown how quark scattering in a quenched, eikonal model led to a momentum-transfer dependent amplitude expressed in terms of Halpern's functional integral; and how the requirement of manifest gauge invariance converted that functional integral into a local integral, capable of being evaluated with precision by a finite set of numerical integrations. We here prove that this property of "effective locality" holds true for all quark processes, without approximation and without exception.