Second order chiral kinetic theory under gravity and antiparallel charge-energy flow

Understand

We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature.

• It is well-known that in the chiral kinetic theory there inevitably appears a redundant ambiguous vector corresponding to the choice of the Lorentz frame.
• We reveal that on top of this conventional frame choosing vector, higher-order quantum correction to the chiral kinetic theory brings an additional degrees of freedom to specify the distribution function.
• Based on this framework, we derive new types of fermionic transport, that is, the charge current and energy-momentum tensor induced by the gravitational Riemann curvature.