Collisions in Chiral Kinetic Theory

Abstract

Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order $\mathcal{O}(\hslash )$ which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the conservation of angular momentum during collisions. We also find a conserved symmetric stress-energy tensor as well as the $H$-function obeying Boltzmann's $H$-theorem. We demonstrate their use by finding a general equilibrium solution and the values of the anomalous transport coefficients characterizing chiral vortical effect.

5 pages

References in corpus (8)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Wigner translations and the observer-dependence of the position of masslesss spinning particles
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Collective Modes of Chiral Kinetic Theory in Magnetic Field
• Chiral Magnetic Effect at Weak Coupling with Relaxation Dynamics