We present a many body approach for nonequilibrium 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 $\overrightarrow{T}0.$ This quantum glass is formed by a large number of competing states spread over an energy region which is determined within our theory.

• Received 13 September 2002

DOI:https://doi.org/10.1103/PhysRevB.68.134203