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

Vatsal Dwivedi, Michael Stone

Research output: Contribution to journalArticlepeer-review


We propose a classical action for the motion of massless Weyl fermions in a background gauge field in (2N + 1) + 1 space-time 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.

Original languageEnglish (US)
Article number025401
JournalJournal of Physics A: Mathematical and Theoretical
Issue number2
StatePublished - Jan 17 2014

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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