Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
arXiv:2404.03692 · doi:10.1016/j.aop.2024.169790
Abstract
This paper focuses on additional inspections concerning the fermionic sector of the Standard Model Extension (SME). In this context, our main effort in this contribution is to investigate effects of Lorentz-symmetry violation (LSV) on the Klein Paradox, the Zitterbewegung and its phenomenology in connection to Condensed Matter Physics, Atomic Physics, and Astrophysics. Finally, we discuss a particular realization of LSV in the Dirac equation, considering an asymmetry between space and time due to a scale factor present in the linear momentum of the fermion, but which does not touch its time derivative. We go further and extend the implications of this asymmetry in the situation the scale factor becomes space-time dependent to compute its influence on the kinematics of the Compton effect with the extended dispersion relation for the fermion that scatters the photon.
arXiv comment15 pages, 2 figures
References in corpus (72)
- String Theory and Noncommutative Geometry
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Gravity, Lorentz Violation, and the Standard Model
- High-Energy Tests of Lorentz Invariance
- Noncommutative Field Theory and Lorentz Violation
- Nonstandard optics from quantum spacetime
- Signals for Lorentz Violation in Electrodynamics
- Quantum simulation of the Dirac equation
- Cosmological Constraints on Lorentz Violation in Electrodynamics
- Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
- Loop quantum gravity and light propagation
- A new bound on the electron's electric dipole moment
- Observation of Zitterbewegung in a spin-orbit coupled Bose-Einstein condensate
- Doubly-Special Relativity: First Results and Key Open Problems
- Optical clock comparison test of Lorentz symmetry
- New varying speed of light theories
- One-Loop Renormalization of Lorentz-Violating Electrodynamics
- The Extragalactic Background Light and the Gamma-ray Opacity of the Universe
- CPT and Lorentz tests with muons
- Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
- Introduction to Doubly Special Relativity
- Test of special relativity using a fiber network of optical clocks
- Nonrelativistic Quantum Hamiltonian for Lorentz Violation
- Testing CPT with Anomalous Magnetic Moments
- Probing The Structure of Space-Time with Cosmic Rays
- Observing Zitterbewegung in Ultracold Atoms
- Causality and CPT violation from an Abelian Chern-Simons-like term
- New limit on Lorentz and CPT violating neutron spin interactions using a free precession 3He-129Xe co-magnetometer
- Probing Lorentz and CPT violation with space-based experiments
- Direct observation of zitterbewegung in a Bose-Einstein condensate
- Astrophysical Tests of Lorentz and CPT Violation with Photons
- Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses
- Lorentz-violating spinor electrodynamics and Penning traps
- Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
- Waves on Noncommutative Spacetime and Gamma-Ray Bursts
- Light speed variation from gamma-ray bursts
- Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
- Lorentz violation from gamma-ray bursts
- Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
- Light speed variation from gamma ray burst GRB 160509A
- In-vacuo-dispersion features for GRB neutrinos and photons
- Lorentz violation from cosmological objects with very high energy photon emissions
- Constraints on relativity violations from gamma-ray bursts
- Laboratory tests of Lorentz and CPT symmetry with muons
- Search for Lorentz and CPT Violation Effects in Muon Spin Precession
- Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
- Eliminating the CPT-Odd f Coefficient from the Lorentz-Violating Standard Model Extension
- Atomic Zitterbewegung
- Lorentz violation in Dirac and Weyl semimetals
- IceCube and GRB neutrinos propagating in quantum spacetime
- Lorentz and CPT Tests with Clock-Comparison Experiments
- Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
- Lorentz violation from gamma-ray burst neutrinos
- Lab-based limits on the Carroll-Field-Jackiw Lorentz-violating electrodynamics
- Consistent Lorentz violation features from near-TeV IceCube neutrinos
- Pre-burst events of gamma-ray bursts with light speed variation
- Noether's theorems and the energy-momentum tensor in quantum gauge theories
- Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
- Light speed variation from active galactic nuclei
- Limits on CPT violation from solar neutrinos
- Testing Lorentz and CPT invariance with neutrinos
- Lorentz symmetry breaking -- classical and quantum aspects
- Measuring a QED cross section via a witness particle
- Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
- Ultra-high energy cosmic neutrinos from gamma-ray bursts
- Link between \emph{Zitterbewegung} and topological phase transition
- Impact of Lorentz violation on anomalous magnetic moments of charged leptons
- Testing Lorentz-symmetry violation via electroweak decays
- Phenomenology of a Born-Infeld extension of the sector at lepton colliders
- Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos