Abstract
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 language | English (US) |
---|---|
Article number | 025401 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 47 |
Issue number | 2 |
DOIs | |
State | Published - Jan 17 2014 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy