Creation of spin 1/2 particles by an electric field in de Sitter space

TL;DR

This paper investigates how a constant electric field in de Sitter space leads to the creation of spin 1/2 particles, comparing results with scalar particles and analyzing the flat space limit.

Contribution

It provides a detailed calculation of fermion particle creation in de Sitter space with an electric field, extending previous scalar-focused studies.

Findings

Particle creation rate computed using Bogoliubov transformations

Comparison of fermion and scalar particle creation rates

Behavior of particle density in the flat space limit

Abstract

In the present article we solve the Dirac equation in a de Sitter universe when a constant electric field is present. Using the Bogoliubov transformations, we compute the rate of spin 1/2 created particles by the electric field. We compare our results with the scalar case. We also analyze the behavior of the density of particles created in the limit H=0, when de Sitter background reduces to a flat space-time.