Abstract
We consider the particle-antiparticle pairs produced by both a strong electric field and de Sitter curvature. We investigate in 1 + 1 D the backreaction of the pairs on the electromagnetic field. To do so we describe the canonical quantization of an electromagnetic field in de Sitter space and add in the Einstein-Maxwell equation the fermionic current induced by the pairs. After solving this equation, we find that the electric field gets either damped or unaffected depending on the value of the pair mass and the gauge coupling. No enhancement of the electromagnetic field to support a magnetogenesis scenario is found. The physical picture is that the Schwinger pairs locally created screen the production and amplification of the electromagnetic field. However, if one considers light bosons created by the Schwinger mechanism, we report a solution to the Einstein-Maxwell equation with an enhancement of the electromagnetic field. This solution could be a new path to primordial magnetogenesis.
Highlights
We consider the particle-antiparticle pairs produced by both a strong electric field and de Sitter curvature
We emphasize that in this regime, the electromagnetic field is not sensitive any curvature effect because its wavelength is greater than the curvature radius implying that deep in the ultraviolet regime the electric field propagates as in
In the infrared regime the results presented cannot be totally trusted as the Schwinger effect has to be computed to take into account the rapid spatial variations of the electric field
Summary
1, for which our results are valid. We emphasize that in this regime, the electromagnetic field is not sensitive any curvature effect because its wavelength is greater than the curvature radius implying that deep in the ultraviolet regime
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