The short time regime (10(-13) s less than or equal to t less than or
equal to 10-(11) s) of the segmental dynamics of several glass-forming
polymers with different chemical microstructure and glass-transition
temperature has been investigated by means of time of flight (TOF) neu
tron scattering techniques. In this paper we present a summary of the
main results obtained as well as the theoretical framework proposed by
us to interpret these results. The main conclusion is that the segmen
tal dynamics of glass-forming polymers display in the very short time
range (t approximate to 2 ps) a crossover from a simple exponential be
haviour towards a non-exponential regime. The first exponential decay,
which is controlled by C-C rotational barriers, can be understood as
a trace of the behaviour of the system in absence of the effects (corr
elations, cooperativity, memory effects...) which characterise the den
se supercooled liquid like state against the normal liquid state. The
non-exponential regime at t > 2 ps corresponds to what is usually unde
rstood as alpha and beta relaxations. Some implications of these resul
ts are also discussed.