# Non-Abelian aether-like term in four dimensions

## TL;DR

This paper derives a finite, non-ambiguous non-Abelian aether-like Lorentz-breaking term in four-dimensional extended QED, involving complex self-couplings, expanding understanding of Lorentz symmetry violation in gauge theories.

## Contribution

It introduces a non-Abelian generalization of Lorentz-breaking extended QED and explicitly demonstrates the finiteness and clarity of the generated aether-like term.

## Key findings

- The non-Abelian aether-like term is finite and non-ambiguous.
- The term involves triple and quartic self-coupling vertices.
- The derivation extends Lorentz symmetry violation studies to non-Abelian gauge theories.

## Abstract

The non-Abelian aether-like Lorentz-breaking term, involving triple and quartic self-coupling vertices, is generated from the non-Abelian generalization of the Lorentz-breaking extended QED including only a minimal spinor-vector interaction. This term is shown explicitly to be finite and non-ambiguous.