  We present a many body approach for non-equilibrium behavior and
self-generated glassiness in strongly correlated quantum systems. It combines
the dynamical mean field theory of equilibrium systems with the replica theory
for classical glasses without quenched disorder. We apply this approach to
study a quantized version of the Brazovskii model and find a self-generated
quantum glass that remains in a quantum mechanically mixed state as T -> 0.
This quantum glass is formed by a large number of competing states spread over
an energy region which is determined within our theory.
