Phys. Rev. Lett. 87, 141601 (2001) [4 pages]

Noncommutative Field Theory and Lorentz Violation

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Sean M. Carroll1, Jeffrey A. Harvey1, V. Alan Kostelecký2, Charles D. Lane3, and Takemi Okamoto1
1Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637
2Physics Department, Indiana University, Bloomington, Indiana 47405
3Physics Department, Colby College, Waterville, Maine 04901

Received 9 May 2001; published 17 September 2001

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields. Some theoretical consequences are discussed. Existing experiments bound the scale of the noncommutativity parameter to (10 TeV)-2.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v87/e141601
DOI: 10.1103/PhysRevLett.87.141601
PACS: 11.30.Cp, 02.40.Gh, 12.20.Fv

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