Relativistic dissipative spin dynamics in the relaxation time approximation

The concept of the Wigner function is used to construct a semi-classical kinetic theory describing evolution axial-current phase-space density spin-1/2 particles in relaxation time approximation. resulting approach can be study spin-polarization effects relativistic matter, particular, heavy-ion collisions. An expression for axial current based on classical treatment spin also introduced and we show that it consistent with earlier calculations using functions. Finally, derive non-equilibrium corrections tensor, which are define, first time, structure transport coefficients matter.