Noncommutative Field Theory and Lorentz Violation
Sean M. CarrollEnrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USAJeffrey A. HarveyEnrico Fermi Institute, University of Chicago, Chicago, Illinois 60637V. Alan KosteleckýPhysics Department, Indiana University, Bloomington, Indiana 47405Charles D. LanePhysics Department, Colby College, Waterville, Maine 04901Takemi OkamotoEnrico Fermi Institute, University of Chicago, Chicago, Illinois 60637
2001en
ABI
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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Cited by 40 references