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

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arxiv 1504.08201 v1 pith:BJPA2O2Z submitted 2015-04-30 gr-qc hep-th

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

classification gr-qc hep-th
keywords creationelectricfieldparticlesspace-timecreatedde-sittereffect
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The effect of the electric field on the creation of spin 1/2 particles from vacuum in the (1+1) dimensional de-Sitter space-time is studied. The Dirac equation with a constant electric field is solved by introducing an unitary transformation. Then the canonical method based on Bogoliubov transformation is applied to calculate the pair creation probability and the density of created particles both for positive or negative wave vector. By doing summation over all allowed states, the number of created particles per unit of time per unit of length and the imaginary part of the Schwinger effective action are expressed in closed forms. It is shown that the electric field leads to a significant enhancement of the particle creation. The weak expansion case and the limit H=0, where dS space reduces to the flat Minkowski space-time, are discussed.

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  1. Induced energy-momentum tensor of the scalar field in 3D de Sitter QED

    hep-th 2025-12 conditional novelty 5.0

    First explicit renormalized energy-momentum tensor of charged scalar QED in 3D de Sitter spacetime with a uniform electric field: quadratic strong-field scaling, inverse-mass infrared behavior, vanishing conformal trace.