  We show that the inflaton condensate associated with a global symmetry can
fragment into quasi stable Q balls after the end of inflation, provided the
inflaton oscillations give rise to an effective equation of state with negative
pressure. We argue that chaotic inflation with a running inflaton mass may give
rise to the desired scenario where the process of fragmentation into inflatonic
Q balls can actually take place even though there is total zero charge. We show
that such inflatonic Q balls will reheat the Universe to a sufficiently low
temperature via surface evaporation.
