QCD Breaks Lorentz Invariance and Colour

TL;DR

This paper demonstrates that Quantum Chromodynamics (QCD) breaks Lorentz invariance, leading to observable effects like fuzzy mass shells and frame-dependent decay times, and confirms the spontaneous breaking of non-abelian superselection rules.

Contribution

It provides alternative proofs for superselection rule breaking in QCD and shows Lorentz invariance violation, extending previous results with implications for particle properties and symmetries.

Findings

Lorentz invariance is broken in QCD.

Superselection rules are spontaneously broken to their maximal abelian subalgebra.

Observable consequences include fuzzy mass and spin shells, and frame-dependent decay times.

Abstract

In a previous work [1], we have argued that the algebra of non-abelian superselection rules is spontaneously broken to its maximal abelian subalgebra, that is, the algebra generated by its completing commuting set (the two Casimirs and a basis of its Cartan subalgebra). In this paper, alternative arguments confirming these results are presented. In addition, Lorentz invariance is shown to be broken in QCD, just as it is in QED. The experimental consequences of these results include fuzzy mass and spin shells of coloured particles like quarks, and decay life times which depend on the frame of observation [2-4]. In a paper under preparation, these results are extended to the ADM Poincar\'e group and the local Lorentz group of frames. The renormalisation of the ADM energy by infrared gravitons is also studied and estimated.