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Comment on "Fermion production in a magnetic field in a de Sitter universe"
General Relativity and Quantum Cosmology · Submitted 25 Oct 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Crucean et al., Phys. Rev. D 73 044019 (20016)] are gauge dependent quantities.
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The abstract, sentence by sentence
We point out that the transition probabilities used in a recent perturbative calculation of pair creation in an external magnetic field in the expanding de Sitter space with the $in$ and $out$ fermion states defined by the Bunch-Davies modes [C. Crucean et al., Phys. Rev. D 73 044019 (20016)] are gauge dependent quantities. We examine the gauge variations of these amplitudes assuming a decoupling of the interaction at infinite times, which allows to conclude that the source of the problem lies in the nonoscillatory behavior of the fermion current in the infinite future.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We point out that the transition probabilities used in a recent perturbative calculation of pair creation in an external magnetic field in the expanding de Sitter space with the $in$ and $out$ fermion states defined by the Bunch-Davies modes [C. | contribution 0.57 | 0.70 | 0.11 | asserted 0.84 |
| s1 | Crucean et al., Phys. Rev. D 73 044019 (20016)] are gauge dependent quantities. | result 0.91 | 0.34 | 0.70 | asserted 1.00 |
| s2 | We examine the gauge variations of these amplitudes assuming a decoupling of the interaction at infinite times, which allows to conclude that the source of the problem lies in the nonoscillatory behavior of the fermion current in the infinite future. | result 0.36 | 0.87 | 0.68 | asserted 0.96 |
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The paper
Original abstract
We point out that the transition probabilities used in a recent perturbative calculation of pair creation in an external magnetic field in the expanding de Sitter space with the $in$ and $out$ fermion states defined by the Bunch-Davies modes [C. Crucean et al., Phys. Rev. D 73 044019 (20016)] are gauge dependent quantities. We examine the gauge variations of these amplitudes assuming a decoupling of the interaction at infinite times, which allows to conclude that the source of the problem lies in the nonoscillatory behavior of the fermion current in the infinite future.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers whose main result relates to this one's
States a conflicting result 1 paper
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The final results prove that the first order transition amplitudes do not change at a gradient transformation of the vector potential because the only allowed transformation is $\Lambda=0$.
Reply to the "Comment on Fermion production in a magnetic field in a de Sitter Universe" · 0.87
Papers citing it · 1 sentence without a confident label
Cites it as background 1 paper
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Recently, the effect of a magnetic field on the Schwinger effect in the $$ has been investigated [ref] ; see also [ref] , and it has been shown that the pair production is enhanced in the strong magnetic field regime.
Induced energy-momentum tensor of Dirac field in 2D de Sitter QED · introduction · 0.81
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