Kinetic approach to triangle anomaly in hydrodynamics

Authors:
  • SPShi Pu
    Shi Pu
  • JGJian-Hua Gao
    Jian-Hua Gao
  • QWQun Wang
    Qun Wang

Abstract
We derive in a kinetic approach the terms in the charge and entropy currents induced by triangle anomaly in hydrodynamics. For a system with a single U(1) charge, such terms can be absorbed into the new fluid velocity and the system is identical to an ideal fluid, which does not conflict with the entropy principle. For the case with a U(1) and an axial U(1) charge, the induced terms can be completely fixed in the kinetic formalism. In the limit that the axial charge density is much smaller than the charge one the coefficients of these terms can be solved in simple form with clear physical meanings. In this way we show in a kinetic approach that a charge current proportional to the magnetic field can be induced by the axial anomaly.