Velocity in Lorentz-Violating Fermion Theories
arXiv:hep-th/0412112 · doi:10.1103/PhysRevD.71.125015
Abstract
We consider the role of the velocity in Lorentz-violating fermionic quantum theory, especially emphasizing the nonrelativistic regime. Information about the velocity will be important for the kinematical analysis of scattering and other problems. Working within the minimal standard model extension, we derive new expressions for the velocity. We find that generic momentum and spin eigenstates may not have well-defined velocities. We also demonstrate how several different techniques may be used to shed light on different aspects of the problem. A relativistic operator analysis allows us to study the behavior of the Lorentz-violating Zitterbewegung. Alternatively, by studying the time evolution of Gaussian wave packets, we find that there are Lorentz-violating modifications to the wave packet spreading and the spin structure of the wave function.
24 pages
References in corpus (33)
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- High-Energy Tests of Lorentz Invariance
- Stability, Causality, and Lorentz and CPT Violation
- Radiatively Induced Lorentz and CPT Violation in Electrodynamics
- Cosmological Constraints on Lorentz Violation in Electrodynamics
- Constraints on Lorentz violation from clock-comparison experiments
- CPT and Lorentz Tests in Hydrogen and Antihydrogen
- Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
- CPT and Lorentz Tests in Penning Traps
- One-Loop Renormalization of Lorentz-Violating Electrodynamics
- CPT and Lorentz tests with muons
- Nonrelativistic Quantum Hamiltonian for Lorentz Violation
- Testing CPT with Anomalous Magnetic Moments
- Cross Sections and Lorentz Violation
- Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
- Vacuum Cherenkov radiation
- Lorentz and CPT tests with spin-polarized solids
- Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
- Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
- Is there evidence for cosmic anisotropy in the polarization of distant radio sources?
- The Cherenkov effect in Lorentz-violating vacua
- Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
- Lorentz and CPT violations from Chern-Simons modifications of QED
- Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
- Dirac theory within the Standard-Model Extension
- Test of CPT and Lorentz invariance from muonium spectroscopy
- Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
- Redefining Spinors in Lorentz-Violating QED
- Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
- Compton Scattering in the Presence of Lorentz and CPT Violation
- Velocity of particles in Doubly Special Relativity
- On the definition of velocity in doubly special relativity theories
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- Riemann-Finsler geometry and Lorentz-violating kinematics
- What Do We Know About Lorentz Invariance?
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Classical kinematics for Lorentz violation
- Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
- Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
- Lorentz violation in Dirac and Weyl semimetals
- Lorentz Violation and Synchrotron Radiation
- Laboratory Bounds on Electron Lorentz Violation
- Bounds on Spin-Dependent Lorentz Violation From Inverse Compton Observations
- Limits on Neutron Lorentz Violation from the Stability of Primary Cosmic Ray Protons
- Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
- Lorentz Violation and the Yukawa Potential
- From classical Lagrangians to Hamilton operators in the Standard-Model Extension
- Astrophysical Limits on Lorentz Violation for Pions
- Lorentz Violation and Faddeev-Popov Ghosts
- Bounding Lorentz Violation at Particle Colliders By Tracking the Motion of Charged Particles
- Physical interpretation of large Lorentz violation via Weyl semimetals
- The Impact of Lorentz Violation on the Klein Tunneling Effect
- Top Hadrons in Lorentz-Violating Field Theory
- CPT and Lorentz violation as signatures for Planck-scale physics
- Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
- Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
- Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
- Renormalization Group Running of the Parity Operator in Lorentz-Violating Quantum Field Theory