Can the QCD Effective Charge Be Symmetrical in the Euclidean and the Minkowskian Regions?

TL;DR

This paper investigates whether the QCD effective charge can be symmetrical in Euclidean and Minkowskian regions, concluding that such symmetry conflicts with causality principles.

Contribution

It provides a theoretical analysis showing the incompatibility of symmetrical effective charges with causality in QCD.

Findings

Symmetry in effective charges is inconsistent with causality.

The study clarifies the limitations of effective charge models.

Results impact the modeling of QCD interactions.

Abstract

We study a possible symmetrical behavior of the effective charges defined in the Euclidean and Minkowskian regions and prove that such symmetry is inconsistent with the causality principle.