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HOT NONPERTURBATIVE QCD

Starting from the new background field formalism for T > 0, with nonperturbative (NP) background given as gauge invariant fiel correlators, new perturbation theory and diagram technic is introduced. Confined and deconfined phases are explicitly described and critical temperature Tc is expressed in terms of the scale anomaly term. Resulting numerical estimates of Tc agree well with lattice data. Spacial area law is shown to follow naturally for T > Tc, and a set of Hamiltonians is obtained for screening masses of mesons and glueballa depending on the Matsubara frequences. Thelowest screening masses and wave functions of mesons obtained agree with lattice data and earlier calculations. Screening glueball masses and wave functions are also computed from the Hamiltonian and two different regimes are observed in high and low T regions. The infrared catastrophe of hot QCD is shown to be cured by the NP background.