Lorentz Invariance and Origin of Symmetries
Abstract
We reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can be imposed only in the sense that all Lorentz noninvariant effects caused by the spontaneous breakdown of Lorentz symmetry are physically unobservable. The application of this principle to the most general relativistically invariant Lagrangian, with arbitrary couplings for all the fields involved, leads 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 generated only as accidental consequences of the gauge symmetry.
- Publication:
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Physical Review Letters
- Pub Date:
- August 2001
- DOI:
- 10.1103/PhysRevLett.87.091601
- arXiv:
- arXiv:hep-ph/0106036
- Bibcode:
- 2001PhRvL..87i1601C
- Keywords:
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- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 10 page LaTeX file