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Noncommutative Field Theory and Lorentz Violation

Sean M. Carroll·Jeffrey A. Harvey·V. Alan Kostelecky·Charles D. Lane·Takemi Okamoto
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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 (10 TeV)^{-2}.

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Sean M. Carroll, Jeffrey A. Harvey, V. Alan Kostelecky, Charles D. Lane, Takemi Okamoto. 2001-05-09. Noncommutative Field Theory and Lorentz Violation. https://doi.org/10.1103/physrevlett.87.141601

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