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Phys. Rev. Lett. 90, 211601 (2003) [4 pages]

Ultraviolet Modifications of Dispersion Relations in Effective Field Theory

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Robert C. Myers1,2 and Maxim Pospelov3,4
1Perimeter Institute for Theoretical Physics, 35 King Street North, Waterloo, Ontario N2J 2W9, Canada
2Department of Physics, McGill University, Montréal, Québec H3A 2T8, Canada
3Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, V8P 1A1, Canada
4Centre for Theoretical Physics, University of Sussex, Brighton BN1 9QJ, United Kingdom

Received 18 January 2003; published 28 May 2003

The existence of a fundamental ultraviolet scale, such as the Planck scale, may lead to modifications of the dispersion relations for particles at high energies in some scenarios of quantum gravity. We apply effective field theory to this problem and identify dimension-5 operators that do not mix with dimensions 3 and 4 and lead to cubic modifications of dispersion relations for scalars, fermions, and vector particles. Further we show that, for electrons, photons and light quarks, clock comparison experiments bound these operators at 10-5/MPl.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.211601
DOI:
10.1103/PhysRevLett.90.211601
PACS:
11.30.Cp, 04.60.–m, 11.10.Ef

See Also

Comment: Alejandro Perez and Daniel Sudarsky, Comment on “Ultraviolet Modifications of Dispersion Relations in Effective Field Theory”, Phys. Rev. Lett. 91, 179101 (2003).