On invariants for particle propagation in non-Abelian fields

TL;DR

This paper discusses the limitations of using invariants from the field tensor to characterize particle propagation in non-Abelian fields, highlighting the need for additional methods in certain cases.

Contribution

It reveals that invariants alone are insufficient for describing particle propagation in non-Abelian fields in many analytically tractable and phenomenologically relevant scenarios.

Findings

Invariants from the field tensor do not fully characterize particle propagation.

Additional tools are necessary for certain non-Abelian field configurations.

The study emphasizes the complexity of non-Abelian particle dynamics.

Abstract

Characterising the propagation of particles in an external non-Abelian field only in terms of invariants constructed from its field tensor is not always sufficient, especially, in many analytically tractable and phenomenologically interesting cases.