  Baryon number violation, CP violation and non-equilibrium evolution of the
early universe just after the big bang are proposed in the literature to be
necessary conditions to explain the observed matter-antimatter asymmetry
(baryon asymmetry) of the universe. Since the free quarks are not observed and
the baryons are formed by the confinement of quarks and gluons, it is necessary
to understand how the baryons were formed for the first time from the
non-equilibrium quarks and gluons in the early universe just after the big bang
in order to study the baryon asymmetry of the universe. In this paper we study
the baryon formation from the non-equilibrium quarks and gluons in the early
universe just after the big bang from the first principle in QCD by using the
closed-time path integral formalism in non-equilibrium QCD.
