  The rate of emission of heavy dileptons from QGP is found without an
assumption of its complete thermal equilibrium. We base on the real-time
quantum field kinetic approach [1] and use the expansion up to the second order
with respect to strong coupling constant $g$. The final answer is not free from
the collinear singularities and we show that this is the actual issue. As a
result the main contribution to the rate of the heavy dileptons production at
$M/T \sim 10$ comes from the process $q\bar{q}g\rightarrow \gamma^{*}$.
  ( Figures can be obtained from the author )
