The kinetic description of vacuum particle creation in the oscillator representation

TL;DR

This paper introduces a kinetic approach using oscillator representation for non-perturbative vacuum particle creation in strong, time-dependent electric fields, offering a potentially more effective method than traditional Bogoliubov transformations.

Contribution

It develops a quantum kinetic equation framework based on oscillator representation, improving the analysis of vacuum particle creation in various electromagnetic field configurations.

Findings

Effective derivation of quantum kinetic equations for vacuum creation.

Application to periodic and constant electromagnetic fields.

Insights into electron-positron plasma formation relevant for laser experiments.

Abstract

The oscillator representation is used for the non-perturbative description of vacuum particle creation in a strong time-dependent electric field in the framework of scalar QED. It is shown that the method can be more effective for the derivation of the quantum kinetic equation (KE) in comparison with the Bogoliubov method of time-dependent canonical transformations. This KE is used for the investigation of vacuum creation in periodical linear and circular polarized electric fields and also in the case of the presence of a constant magnetic field, including the back reaction problem. In particular, these examples are applied for a model illustration of some features of vacuum creation of electron-positron plasma within the planned experiments on the X-ray free electron lasers.