Relativistic statistical systems of particles with scalar interactions

Abstract

On the basis of a generally covariant Liouville-Vlasov equation, relativistic statistical systems of particles interacting by means of chiral of other nonlinear fields are considered. A functional arbitrariness in description of such systems is found. Exact solutions of the kinetic equation, depending on the linear first integral of equations of motion, are found. For a two-component statistical system with a neutral scalar field which is described by a power Vlasov distribution function, the critical temperature is found, which separates charge-symmetric and charge-asymmetric ground states of the system.