  Based on the constituent quasiparticle model of quark-gluon plasma (QGP), the
matrix elements of the density operator and the Wigner function in the color
phase space are presented in form of color path integrals over Wiener and SU(3)
group Haar measures. Monte Carlo calculations of quark and gluon momentum
distributions and spatial pair distribution functions have been carried out for
the strongly coupled QGP plasma in thermal equilibrium at zero baryon chemical
potential. The Debye screening mass and the running coupling constant have been
obtained from the spatial pair distribution function and are in agreement with
the available lattice QCD data. At densities related to the average
interparticle distance more than 0.4 fm the gluon bound states in the form of
glueballs have been found. Comparison with the Maxwell Boltzmann distribution
shows significant influence of interparticle interaction on high energy
asymptotics of the momentum distribution functions, resulting in appearance of
quantum tails. The new color pair correlation function has been introduced, and
related new color screening mass has been discussed.
