Functional bosonization with time dependent perturbations

TL;DR

This paper develops a path-integral bosonization method for non-equilibrium quantum systems with time-dependent interactions, applying it to a dynamic barrier in a non-covariant Thirring model and connecting to Luttinger liquids.

Contribution

It extends equilibrium bosonization techniques to non-equilibrium scenarios using the Schwinger-Keldysh formalism, enabling analysis of time-dependent quantum systems.

Findings

Computed Green's function and energy density for the model.

Established connection with non-equilibrium Luttinger liquids.

Demonstrated applicability to dynamic barriers in quantum field models.

Abstract

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non covariant version of the Thirring model in the presence of a dynamic barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh) formalism, we compute the Green's function and the Total Energy Density of the system. Since our model contains the Tomonaga Luttinger model as a particular case, we make contact with recent results on non-equilibrium electronic systems.