A Classical Version of the Non-Abelian Gauge Anomaly

Abstract

We show that a version of the covariant gauge anomaly for a 3+1 dimensional chiral fermion interacting with a non-Abelian gauge field can be obtained from the classical Hamiltonian flow of its probability distribution in phase space. The only quantum input needed is the Berry phase that arises from the direction of the spin being slaved to the particle's momentum.

19 Pages, No figures

References in corpus (2)

• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Relativistic Hydrodynamics with General Anomalous Charges

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