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.
15 pages, 2 figures
References in corpus (23)
- A new bound on the electron's electric dipole moment
- Observing Zitterbewegung in Ultracold Atoms
- Lorentz-violating spinor electrodynamics and Penning traps
- Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
- Light speed variation from gamma-ray bursts
- Light speed variation from gamma ray burst GRB 160509A
- Laboratory tests of Lorentz and CPT symmetry with muons
- 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
- Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
- 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
- Light speed variation from active galactic nuclei
- Testing Lorentz and CPT invariance with neutrinos
- Lorentz symmetry breaking -- classical and quantum aspects
- 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
- Phenomenology of a Born-Infeld extension of the sector at lepton colliders
- Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos