CALCULATION OF THE AVERAGE GREENS-FUNCTION OF ELECTRONS IN A STOCHASTIC MEDIUM VIA HIGHER-DIMENSIONAL BOSONIZATION

The disorder-averaged single-particle Green's function of electrons su bject to a time-dependent random potential with long-range spatial cor relations is calculated by means of bosonization in arbitrary dimensio ns. For static disorder our method is equivalent to conventional pertu rbation theory based on the lowest-order Born approximation. For dynam ic disorder, however, we obtain a new non-perturbative expression for the average Green's function. Bosonization also provides a solid micro scopic basis for the description of the quantum dynamics of an interac ting many-body system via an effective stochastic model with Gaussian probability distribution.