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arXiv · 1308.4576

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

Vatsal Dwivedi·Michael Stone
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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.

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Vatsal Dwivedi, Michael Stone. 2013-08-21. Classical chiral kinetic theory and anomalies in even space-time dimensions. https://doi.org/10.1088/1751-8113/47/2/025401

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