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CPT Violation Implies Violation of Lorentz Invariance

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arxiv hep-ph/0201258 v3 pith:C7ZEQOIP submitted 2002-01-28 hep-ph hep-thquant-ph

classification hep-phhep-thquant-ph
keywords invariancelorentzviolatesviolationantiparticledifferenthandhaving
verification ladder T0 review T1 audit T2 compute T3 formal
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An interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and antiparticle masses must be nonlocal.

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Cited by 3 Pith papers

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

  1. Crystallography, Lorentz violation, and the Standard-Model Extension

    cond-mat.mes-hall 2026-04 unverdicted novelty 6.0 of 10

    Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.

  2. Interplay of CPT-Violating and CPT-Conserving Lorentz Invariance Violation at DUNE

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Combined CPT-violating and CPT-conserving Lorentz-invariance-violation parameters suppress DUNE's CP-violation sensitivity below 3σ over much of the δ_CP range and introduce parameter degeneracies that complicate δ_CP...

  3. Perturbative Analysis of CPT-Odd Lorentz-Violating Scalar QCD

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    CPT-odd Lorentz-violating scalar QCD is multiplicatively renormalizable at one loop, with all divergences absorbed into existing counterterms and explicit beta functions obtained.

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