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Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics

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arxiv hep-th/0508074 v4 pith:47VEOFU5 submitted 2005-08-10 hep-th hep-ph

classification hep-thhep-ph
keywords electrodynamicsmodifiedquantumdecaycherenkovmodelphotonradiation
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We consider a CPT-noninvariant scalar model and a modified version of quantum electrodynamics with an additional photonic Chern-Simons-like term in the action. In both cases, the Lorentz violation traces back to a spacelike background vector. The effects of the modified field equations and dispersion relations on the kinematics and dynamics of decay processes are discussed, first for the simple scalar model and then for modified quantum electrodynamics. The decay widths for electron Cherenkov radiation in modified quantum electrodynamics and for photon triple-splitting in the corresponding low-energy effective theory are obtained to lowest order in the electromagnetic coupling constant. A conjecture for the high-energy limit of the photon-triple-splitting decay width at tree level is also presented.

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Cited by 4 Pith papers

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

  1. Revisiting Cherenkov radiation in anisotropic chiral matter: exact calculation reveals threshold-free emission

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Exact solution of modified Maxwell equations in a position-dependent axion model reveals threshold-free Cherenkov emission for slow charges within specific frequencies, unlike standard materials.

  2. Cherenkov radiation in isotropic chiral matter: the space-frequency domain

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A charge moving through chiral matter radiates Cherenkov light in two independent polarization modes, one of which can radiate at sub-luminal speeds.

  3. 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.

  4. Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect

    astro-ph.HE 2024-12 conditional novelty 4.0 of 10

    The authors provide closed-form total rates and simulated photon and electron spectra for vacuum Cherenkov radiation under second-order Lorentz invariance violation.

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