Exact Solutions of a Quark Plasma Equilibrium in the Abelian Dominance Approximation

Abstract

Stationary kinetic equations for a quark plasma (QP) in the Abelian dominance approximation are reduced to the nonlinear system of A ₂-periodic Toda chains (with elliptic operator). Using solutions of this system, which are found with the help of the first integrals and Hirota’s method, such characteristics of QPas the distribution function and the potential of the self-consistent field are constructed.