Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection

Abstract

The recent direct detection of gravitational waves reported by Advanced LIGO has inspired the current article. In this context, a particular Lorentz-violating framework for classical, massive particles is the focus. The latter is characterized by a preferred direction in spacetime comprised of CPT-odd components with mass dimension 1. Curvature effects in spacetime, which are caused by a propagating gravitational wave, are assumed to deform the otherwise constant background field. In accordance with spontaneous Lorentz violation, a particular choice for the vector field is taken, which was proposed elsewhere. The geodesic equations for a particle that is subject to this type of Lorentz violation are obtained. Subsequently, their numerical solutions are computed and discussed. The particular model considered leads to changes in the particle trajectory whose impact on interferometric gravitational-wave experiments such as LIGO will be studied.

25 pages, 3 figures, considerably modified manuscript after acceptance by journal

References in corpus (16)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Matter-gravity couplings and Lorentz violation
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Relativistic Measurements from Timing the Binary Pulsar PSR B1913+16
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• What Do We Know About Lorentz Invariance?
• Testing local Lorentz invariance with gravitational waves
• Detection of gravitational waves from black holes: Is there a window for alternative theories?
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Testing the speed of gravitational waves over cosmological distances with strong gravitational lensing
• Classical kinematics for Lorentz violation
• Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions
• Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension

Cited by in corpus (13)

• Backgrounds in gravitational effective field theory
• Signals for Lorentz violation in gravitational waves
• Lorentz and Diffeomorphism Violations in Linearized Gravity
• Superconducting-Gravimeter Tests of Local Lorentz Invariance
• New limits on the Lorentz/CPT symmetry through fifty gravitational-wave events
• Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
• Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• One-loop calculations in CPT-even Lorentz-breaking scalar QED
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Propagation features of Lorentz-violating electrodynamics
• On the nonlinear electrodynamics in a Lorentz-breaking scenario