Carroll S M, Harvey J A, Kostelecký V A, Lane C D, Okamoto T
Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA.
Phys Rev Lett. 2001 Oct 1;87(14):141601. doi: 10.1103/PhysRevLett.87.141601. Epub 2001 Sep 17.
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).