The chiral vortical effect in Wigner function approach

Understand

It is more subtle to obtain the chiral vortical effect (CVE) than chiral magnetic effect (CME) in quantum transport approach.

• To investigate the subtlty of the CVE we present two different derivation in the Wigner function approach.
• The first one is based on the method in our previous work \cite{Gao:2012ix} in which the CVE was derived under static-equilibrium conditions without details.
• We provide a detailed derivation using a more transparent and powerful method, which can be easily generalized to higher order calculation.