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Effects of CPT and Lorentz invariance violation on pulsar kicks

2005/03/01 by G. Lambiase, Gaetano Lambiase
Physics and Astronomy · #Cosmology and Gravitation Theories #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.71.065005

published as Phys.Rev. D71 (2005) 065005 · 10 pages, 1 figure

arxiv created 2005/03/01 · openalex publication_date 2005/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The breakdown of Lorentz and CPT invariance, as described by the extension of the standard model, gives rise to a modification of the dispersion relation of particles. Consequences of such a modification are reviewed in the framework of pulsar kicks induced by neutrino oscillations (active-sterile conversion). A peculiar feature of the modified energy-momentum relations is the occurrence of terms of the form \ensuremathδ\mathbf\ensuremathΠ\ifmmode⋅\else\textperiodcentered\fi\stackrel^p, where \ensuremathδ\mathbf\ensuremathΠ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and \stackrel^p=p/p, being p the neutrino momentum. Owing to the relative orientation of p with respect to \ensuremathδ\mathbf\ensuremathΠ, the coupling \ensuremathδ\mathbf\ensuremathΠ\ifmmode⋅\else\textperiodcentered\fi\stackrel^p may induce the mechanism to generate the observed pulsar velocities. Topics related to the velocity distribution of pulsars are also discussed.

Citations