Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks

Abstract

The breakdown of Lorentz's 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 $δ{\bbox Π}\cdot {\bf {\hat p}}$, where $δ{\bbox Π}$ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and $\hat{\mathbf{p}}=\mathbf{p}/p$, being $\mathbf{p}$ the neutrino momentum. Owing to the relative orientation of $\mathbf{p}$ with respect to $δ{\bbox Π}$, the {\it coupling} $δ{\bbox Π}\cdot {\bf {\hat p}}$ may induce the mechanism to generate the observed pulsar velocities. Topics related to the velocity distribution of pulsars are also discussed.

10 pages, 1 figure

References in corpus (2)

• Lorentz Violation and Short-Baseline Neutrino Experiments
• Pulsar kicks from neutrino oscillations

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• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
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• The Hydrodynamic Origin of Neutron Star Kicks
• Theoretical Support for the Hydrodynamic Mechanism of Pulsar Kicks
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Pulsar Kicks Induced by Spin Flavor Oscillations of Neutrinos in Gravitational Fields
• Matter-Sector Lorentz Violation in Binary Pulsars
• UV/IR Mixing and Black Hole Thermodynamics