QCD Breaks Lorentz Invariance and Colour

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 Poincaré group and the local Lorentz group of frames. The renormalisation of the ADM energy by infrared gravitons is also studied and estimated.

13 pages

References in corpus (4)

• Spontaneous Lorentz Violation: The Case of Infrared QED
• A Matrix Model for QCD
• Quantum Entropic Ambiguities: Ethylene
• Spontaneous Breaking of Lorentz Symmetry and Vertex Operators for Vortices

Cited by in corpus (10)

• Magnetic Field and Curvature Effects on Pair Production II: Vectors and Implications for Chromodynamics
• Infrared Effects and the Soft Photon Theorem in Massive QED
• Entangled Scent of a Charge
• An Action for the Infrared Regime of Gauge Theories and the Problem of Color Transformations
• Superselection, Boundary Algebras and Duality in Gauge Theories
• ADM Energy and Infra-gravitons
• The Gauss Law: A Tale
• Aspects of Boundary Conditions for Nonabelian Gauge Theories
• Novel Edge States in Self-Dual Gravity
• Localization in the Rindler Wedge