Lorentz Invariance in Chiral Kinetic Theory

Abstract

We show that Lorentz invariance is realized nontrivially in the classical action of a massless spin-$\frac{1}{2}$ particle with definite helicity. We find that the ordinary Lorentz transformation is modified by a shift orthogonal to the boost vector and the particle momentum. The shift ensures angular momentum conservation in particle collisions and implies a nonlocality of the collision term in the Lorentz-invariant kinetic theory due to side jumps. We show that 2/3 of the chiral-vortical effect for a uniformly rotating particle distribution can be attributed to the magnetic moment coupling required by the Lorentz invariance. We also show how the classical action can be obtained by taking the classical limit of the path integral for a Weyl particle.

5 pages, 1 figure

References in corpus (2)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids

Cited by in corpus (36)

• Collisions in Chiral Kinetic Theory
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Mass Correction to Chiral Kinetic Equations
• Berry Phase, Lorentz Covariance, and Anomalous Velocity for Dirac and Weyl Particles
• Chiral fermions as classical massless spinning particles
• Charge redistribution from anomalous magnetovorticity coupling
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Constructing phase space distributions with internal symmetries
• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Position, spin and orbital angular momentum of a relativistic electron
• Collective Modes of Chiral Kinetic Theory in Magnetic Field
• Relativistic corrections to the algebra of position variables and spin-orbital interaction
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Boost invariant formulation of the chiral kinetic theory
• Kinetic theory with spin: From massive to massless fermions
• Anomalous transport phenomena in Weyl metal beyond the Drude model for Landau's Fermi liquids
• Lorentz transformations, sideways shift and massless spinning particles
• Photonic spin Hall effect from quantum kinetic theory in curved spacetime
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Anomalous Hall effects beyond Berry magnetic fields in a Weyl metal phase
• Revisiting angular momentum conservation in transport simulations of intermediate-energy heavy-ion collisions
• Conformal symmetry, chiral fermions and semiclassical approximation
• Microscopic Study of Vorticities in Relativistic Chiral Fermions
• Hydrodynamic description of Weyl fermions in condensed state of matter
• World-line formulation of chiral kinetic theory in topological background gauge fields
• Lepton pair production in ultra-peripheral collisions
• Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation
• Anomalous Hall Effect for semiclassical chiral fermions