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Noncommutative Field Theory and Lorentz Violation
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Noncommutative Field Theory and Lorentz Violation
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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}.
Forward citations
Cited by 2 Pith papers
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Axial Obstructions to Rotating Bumblebee Vacuum Solutions
Rotating constant-norm vector vacua in bumblebee gravity cannot be axis-regular: horizon-pole symmetries force the vector to vanish, and axis-dependent conicity produces a 1/rho curvature divergence.
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Axial Obstructions to Rotating Bumblebee Vacuum Solutions
A two-pronged no-go result shows rotating constant-norm bumblebee vacua cannot extend smoothly through the axis, and the canonical Kerr–disformal family indeed has curvature-singular axes and a singular inner horizon.
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