KEK-Keio-YITP joint seminar (Dr.Jian-Hua Gao )
Recently, anomalous hydrodynamics has caused extensively concern in relativistic heavy-ion collisions, the condensed matter physics and so on. In this talk, we will present the second order anomalous transport coefficients derived from the Wigner equation for massless spin-1/2 charged fermions near global equilibrium. We can obtain the Wigner function order by order in the power expansion of the vorticity and electromagnetic field. The Wigner function is derived up to the second order from which the non-dissipative charge currents and the stress tensor can be obtained. At the second order, the vector and axial Hall currents can be induced along the direction orthogonal to the vorticity and electromagnetic field; the charge and energy densities and the pressure have contributions from the vorticity and electromagnetic field. In our method, all the conservation laws are satisfied automatically. We also discuss the trace anomaly in the stress tensor.