Calculation of the average Green's function of electrons in a stochastic medium via higher-dimensional bosonization

TL;DR

This paper develops a bosonization method to calculate the average Green's function of electrons in a stochastic medium, providing new non-perturbative results for dynamic disorder and a microscopic basis for quantum dynamics in many-body systems.

Contribution

It introduces a higher-dimensional bosonization approach to compute the disorder-averaged Green's function, extending beyond perturbation theory for dynamic disorder.

Findings

Derived a non-perturbative expression for dynamic disorder

Established equivalence with perturbation theory for static disorder

Provided a microscopic basis for quantum dynamics in many-body systems

Abstract

The disorder averaged single-particle Green's function of electrons subject to a time-dependent random potential with long-range spatial correlations is calculated by means of bosonization in arbitrary dimensions. For static disorder our method is equivalent with conventional perturbation theory based on the lowest order Born approximation. For dynamic disorder, however, we obtain a new non-perturbative expression for the average Green's function. Bosonization also provides a solid microscopic basis for the description of the quantum dynamics of an interacting many-body system via an effective stochastic model with Gaussian probability distribution.