Sa. Smolyansky et al., RELATIVISTIC QUANTUM KINETIC-EQUATION OF THE VLASOV TYPE FOR SYSTEMS WITH INTERNAL DEGREES OF FREEDOM, International journal of modern physics E, 7(4), 1998, pp. 515-526
We present an approach to derive a relativistic kinetic equation of th
e Vlasov type. Our approach is especially reliable for the description
of quantum field systems with many internal degrees of freedom. The m
ethod is based on the Heisenberg picture and leads to a kinetic equati
on which fulfills the conservation laws. We apply the approach to the
standard Walecka Lagrangian and an effective chiral Lagrangian.