Lorentz Invariance and Origin of Symmetries

Details Lorentz Invariance and Origin of Symmetries Lorentz Invariance and Origin of Symmetries

2001-06-04

arxiv.org/abs/hep-ph/0106036v1

Phys.Rev.Lett.87:091601,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 page LaTeX file

Scientific paper

10.1103/PhysRevLett.87.091601

In this letter we reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can only be imposed in the sense that all Lorentz non-invariant effects caused by the spontaneous breakdown of Lorentz symmetry are physically unobservable. Remarkably, the application of this principle to the most general relativistically invariant Lagrangian, with arbitrary couplings for all the fields involved, leads by itself to the appearance of a symmetry and, what is more, to the massless vector fields gauging this symmetry in both Abelian and non-Abelian cases. In contrast, purely global symmetries are only generated as accidental consequences of the gauge symmetry.

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