Effect of electromagnetic fields on the creation of scalar particles in a flat Robertson–Walker space-time

Abstract

The influence of electromagnetic fields on the creation of scalar particles from vacuum in a flat Robertson-Walker space-time is studied. The Klein Gordon equation with varying electric field and constant magnetic one is solved. The Bogoliubov transformation method is applied to calculate the pair creation probability and the number density of created particles. It is shown that the electric field amplifies the creation of scalar particles while the magnetic field minimizes it.

Effect of a magnetic field on Schwinger mechanism in de Sitter spacetime

“…where we have used Eqs. (34), (35) and, for convenience, the three-volume of the dS 4 is normalized into a box with dimensions V = L x L y L z . Then the decay rate Γ, i.e., the number of created pairs N per unit of the physical four-volume of the dS 4 is given by…”

“…The effect of a magnetic field background on the scalar pair creation probability [34] and the number density [35] in the spatially flat Friedmann-Lemaitre-Robertson-Walker (FLRW) universes have been investigated. In [34], the author showed that in the presence of a pure magnetic field background, i.e., in the absence of an electric field background, the gravitational pair creation does not change in dS, whereas in a radiation dominated universe, a pure magnetic field background minimizes the gravitational pair creation [35]. In holographic setups, the inclusion of a magnetic field on the Schwinger effect was investigated in [36].…”

Influence of a minimal length on the creation of scalar particles

“…In order to derive the pair creation rate we have at our disposal several methods such as the method based on vacuum to vacuum transition amplitude and Schwinger-like effective action [2,43], the Hamiltonian diagonalization technique [44,45], the Feynman path integral method [46,47] as well as the semiclassical WKB approximation [48,49] and the "in" and "out" states formalism [50,51] that we shall use in this work.…”

“…The "in" and "out" states formalism has been much used in the theory of particle creation and vacuum instability in external fields. This formalism proved most fruitful in finding the probability to create a pair of particles and the mean number of created particles both in the presence of electromagnetic fields or in curved space-time where gravitational fields are present [51]. However, the "in" and "out" states method is based on analytic expressions of the wave functions which is not, in general, possible.…”

Effect of the electric field on the creation of fermions in de-Sitter space-time

“…This idea resembles to the assumption of the anisotropy of the early universe although the present universe is isotropic. We note that the influence of electric field on the particle creation in expanding universe has been studied in several models describing different stages of the cosmic evolution [11,15,[25][26][27][28][29][30][31].…”