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Noncommutative Field Theory and Lorentz Violation

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arxiv hep-th/0105082 v1 pith:O4SCI2L2 submitted 2001-05-09 hep-th hep-ph

Sean M. Carroll , Jeffrey A. Harvey , V. Alan Kostelecky , Charles D. Lane , Takemi Okamoto This is my paper · ORCID
classification hep-thhep-ph
keywords noncommutativetheoryfieldlorentzboundconsequencesconsidereddiscussed
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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}.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Axial Obstructions to Rotating Bumblebee Vacuum Solutions

    gr-qc 2026-07 conditional novelty 7.0 of 10

    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.

  2. Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation

    hep-ph 2025-08 conditional novelty 6.0 of 10

    Isotropic dimension-5 Lorentz violation in fermions is constrained to below 1e-18 GeV^-1 (proton, m-type) and 3e-28 GeV^-1 (proton, a-type) by the absence of vacuum Cherenkov radiation in cosmic rays.

  3. Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    Using NANOGrav 15-year and IPTA second data release, this paper sets a 68% confidence lower bound of 10^-19 GeV on the Lorentz-violating scale M_LV in a modified gravity model.

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