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Phys. Rev. Lett. 87, 091601 (2001) [4 pages]

Lorentz Invariance and Origin of Symmetries

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J. L. Chkareuli
Institute of Physics, Georgian Academy of Sciences, 380077 Tbilisi, Georgia

C. D. Froggatt
Department of Physics and Astronomy, Glasgow University, Glasgow G12 8QQ, Scotland

H. B. Nielsen
Niels Bohr Institute, Blegdamsvej 17-21, DK 2100 Copenhagen, Denmark

Received 1 June 2001; published 14 August 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.091601
DOI:
10.1103/PhysRevLett.87.091601
PACS:
11.15.-q, 11.30.Cp, 12.90.+b