Production of scalar particles in electric field on de Sitter expanding Universe

TL;DR

This paper investigates scalar particle production in an electric field within de Sitter spacetime, revealing that pair creation was significant only during the early universe when the Hubble constant was high.

Contribution

It introduces a perturbative approach to compute scalar pair production in de Sitter space with electric fields and proposes a criterion for particle-antiparticle separation.

Findings

Particle production probability was high only in the early universe.

Momentum conservation is violated during the process.

The study provides a new criterion for particle-antiparticle separation.

Abstract

The scalar particle production from vacuum in the presence of electric field, on the de Sitter spacetime is studied. We use perturbation methods to define the transition amplitude. We obtain that the momentum is not conserved in this process. The probability of pair production is computed by squaring the transition amplitude. Our graphical representations shows that, the probability of scalar particle production was important only in early stage of the universe, when the Hubble's constant was very large in comparison with the mass of the particle. Also we propose here a criteria of particle-antiparticle separation.