Second-order Charge Currents and Stress Tensor in Chiral System

Understand

We solve the Wigner equation for massless spin-1/2 charged fermions near global equilibrium.

• The Wigner function can be obtained order by order in the power expansion of the vorticity and electromagnetic field.
• The Wigner function has been derived up to the second order from which the non-dissipative charge currents and the stress tensor can be obtained.
• The charge and energy densities and the pressure have contributions from the vorticity and electromagnetic field at the second order.