中国物理学会高能物理分会第十三届全国粒子物理学术会议（2021）

In this talk, I will mainly present the second order non-dissipative transport coefficients derived from the Wigner equation for massless spin-1/2 charged fermions in global equilibrium. The Wigner function can be solved order by order in the power expansion of the vorticity and electromagnetic field. The Wigner function is derived up to second order form which the non-dissipative charge current and stress energy tensor can be obtained. At second order, the vector and axial Hall current can be induced along the direction orthogonal to the vorticity and electromagnetic field and the charge and energy density and the pressure have contributions from the vorticity and electromagnetic field as well. We also demonstrate that the solution in global equilibrium is fully constrained at first order while some term associated with vorticity at second order can only be determined up to some unknown functions.