Classical chiral kinetic theory and anomalies in even space-time dimensions

Abstract

We propose a classical action for the motion of massless Weyl fermions in a background gauge field in (2N+1)+1 spacetime dimensions. We use this action to derive the collisionless Boltzmann equation for a gas of such particles, and show how classical versions of the gauge and Abelian chiral anomalies arise from the Chern character of the non-Abelian Berry connection that parallel transports the spin degree of freedom in momentum space.

27 pages, 0 figures

References in corpus (3)

• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Relativistic Hydrodynamics with General Anomalous Charges
• A Classical Version of the Non-Abelian Gauge Anomaly

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