Noncommutative Field Theory and Lorentz Violation

Sean M. Carroll, Jeffrey A. Harvey, V. Alan Kostelecký, Charles D. Lane, and Takemi Okamoto
Phys. Rev. Lett. 87, 141601 – Published 17 September 2001
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Abstract

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 (10TeV)2.

  • Received 9 May 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.141601

©2001 American Physical Society

Authors & Affiliations

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

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Issue

Vol. 87, Iss. 14 — 1 October 2001

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