  Perturbation theory of thermodynamic potentials in QCD at $T>T_c$ is
considered with the nonperturbative background vacuum taken into account. It is
shown that the magnetic confinement in the QCD vacuum prevents the infrared
catastrophe of the perturbation theory present in the case of the free vacuum
(the "Linde problem"). A short discussion is given of the applicability of the
nonperturbative formalism at large $T$ and of the relation with the HTL
theory.The observation of A.D.Linde, that the terms $O(g^n), n>6$ contribute to
the order $O(g^6)$ is confirmed also with the account of the colormagnetic
confinement, and it is shown that the latter makes these terms IR convergent,
and summable. As a result one obtains the selfconsistent theory of the gluon
plasma.
