Particle production in the background with VEV depending on time

TL;DR

This paper develops a general method using WKB approximation and Bogoliubov transformations to calculate particle production in time-dependent backgrounds, emphasizing backreaction and rescattering effects in supersymmetric models.

Contribution

It introduces a comprehensive approach for computing particle number density considering complex interactions and multiple couplings in supersymmetric theories.

Findings

Method effectively accounts for backreaction effects.

Particle production depends on the dynamics of the VEV.

Applicable to models with multiple coupling constants.

Abstract

It is known that time-dependent vacuum expectation value of the background field may lead to abundant particle production in the early Universe. In supersymmetric theories bosons and fermions are produced in a correlated manner that depends on the details of the supersymmetric scenario. Paper presents the general method of calculating the number density of produced particles based on the WKB approximation and the generalized Bogoliubov transformation law. The impact of the backreaction and rescattering is emphasized, also in models with more than one coupling constant.