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Noncommutative field theory and Lorentz violation.

S. Carroll,J. Harvey,2 Authors,T. Okamoto

2001 · DOI: 10.1103/PhysRevLett.87.141601
Physical Review Letters · 768 Citations

TLDR

Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary fields.

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).