Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
arXiv:1605.05451 · doi:10.1103/PhysRevD.95.085005
Abstract
The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in spin indices is proposed. The particle number and current densities for the Dirac particles are acquired in the helicity basis. Following a similar procedure, semiclassical kinetic theory of the Weyl particles is accomplished. It is shown that the phase-space dynamics of the Weyl and Dirac particles is directly linked. The anomalous chiral effects due to the external electromagnetic fields and angular velocity of the frame are calculated.
arXiv commentAppendix added. Published version
References in corpus (32)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Hydrodynamics with Triangle Anomalies
- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
- Charge separation induced by P-odd bubbles in QCD matter
- Gravitational Anomaly and Transport
- Chiral Kinetic Theory
- Angular momentum conservation in heavy ion collisions at very high energy
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Lorentz Invariance in Chiral Kinetic Theory
- Effects of mechanical rotation on spin currents
- Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
- Coherent wave-packet evolution in coupled bands
- Chiral vortical wave and induced flavor charge transport in a rotating quark-gluon plasma
- Topological spin transport of relativistic electron
- Chiral conductivities and effective field theory
- Spin-dependent inertial force and spin current in accelerating systems
- Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
- Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
- Semiclassical dynamics and transport of the Dirac spin
- Collective Modes of Chiral Kinetic Theory in Magnetic Field
- Classical chiral kinetic theory and anomalies in even space-time dimensions
- Inertial-Hall effect: the influence of rotation on the Hall conductivity
- Spin currents in non-inertial frames
- Relation Between the Spin Hall Conductivity and the Spin Chern Number for Dirac-like Systems
- A Semiclassical Kinetic Theory of Dirac Particles and Thomas Precession
- A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
Cited by in corpus (12)
- Chiral kinetic theory in curved spacetime
- Chiral Vortical Effect For An Arbitrary Spin
- Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory
- Semiclassical transport equations of Dirac particles in rotating frames
- Nonlinear Chiral Plasma Transport in Rotating Coordinates
- Tilt induced vortical response and mixed anomaly in inhomogeneous Weyl matter
- Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
- Some Features of Semiclassical Chiral Transport in Rotating Frames
- Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
- Spin Currents of Charged Dirac Particles in Rotating Coordinates
- Hydrodynamic description of Weyl fermions in condensed state of matter
- Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation