Noncommutative Field Theory and Lorentz Violation
Noncommutative Field Theory and Lorentz Violation
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 $(10\mathrm{TeV}{)}^{\ensuremath{-}2}$.