  We investigate the use of the hard thermal loop (HTL) resummation technique
in non-equilibrium field theory. We use the Keldysh representation of the real
time formalism (RTF). We derive the HTL photon self energy and the resummed
photon propagator. We show that no pinch singularities appear in the
non-equilibrium HTL effective propagator. We discuss a possible regularization
mechanism for these singularities at higher orders. As an example of the
application of the HTL resummation method within the RTF we discuss the damping
rate of a hard electron.
