Dirac theory within the Standard-Model Extension

2004/01/12 by Ralf Lehnert · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Dirac (video compression format) #Dirac algebra #Dirac equation #Extension (predicate logic) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Standard Model (mathematical formulation) #Theoretical physics #hep-ph

paper · pdf · doi:10.1063/1.1769105

published as J.Math.Phys. 45 (2004) 3399-3412 · 11 pages REVTeX

arxiv created 2004/01/12 · openalex publication_date 2004/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The modified Dirac equation in the Lorentz-violating Standard-Model Extension (SME) is considered. Within this framework, the construction of a Hermitian Hamiltonian to all orders in the Lorentz-breaking parameters is investigated, discrete symmetries and the first-order roots of the dispersion relation are determined, and various properties of the eigenspinors are discussed.

Citations

• New test of the Einstein equivalence principle and the isotropy of space
• Modern Michelson-Morley Experiment using Cryogenic Optical Resonators
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Electromagnetic cavities and Lorentz invariance violation
• Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance
• Optical cavity tests of Lorentz invariance for the electron
• Double-resonance frequency shift in a hydrogen maser
• CPT-Odd Resonances in Neutrino Oscillations
• Lorentz andCPTviolation in neutrinos
• Quantum gravity and spin-1/2 particle effective dynamics
• Lorentz-violating extension of the standard model
• CPTviolation and the standard model
• Gravity, Lorentz violation, and the standard model

Cited by

• Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
• Nonlinear Dirac Equations