The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Pair Production in Vacuum by an Alternating Field
Overview
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Claims the paper makes
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Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“In fact, the same rotation orbifold construction arises in the context of closed strings in plane gravitational waves supported by a Neveu-Schwarz magnetic flux [35,36], for which usual current algebra techniques allow one to compute the scattering amplitudes [37].”
From Strings in an electric field, and the Milne Universe (2003) · cites this paper as [35]
In the citing paper
“A crucial feature in the discussion is the existence of “spectrally flowed states”, which appear when the rotation angle θ exceeds 2π, thereby lifting the field identification θ ∼ θ + 2π and allowing a smooth description independent of the rationality of θ [35].”
From Strings in an electric field, and the Milne Universe (2003) · cites this paper as [35]
In the citing paper
“Using a free field representation, one may represent the vertex operators of closed string states with p + = 0 by the product of an exponential of the light-cone coordinates e i(p + u+p -v) , times a twist field H θ that creates imposes twisted boundary conditions Z(z)H θ (0) ∼ z θ/(2π) on the transverse coordinates (Z, Z), with θ = 2πp + [35].”
From Strings in an electric field, and the Milne Universe (2003) · cites this paper as [35]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
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Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Research works printed but not linked: 3
- J. Schwinger, 1954, Phys. Rev., 93, 615, 10.1103/PhysRev.93.615 · DOI
- A. M. Perelomov, 1966, Zh. Eksperim. i Teor. Fiz., 50, 844
- A. M. Perelomov, 1966, Zh. Eksperim. i Teor. Fiz., 51, 309
Cited by
Particle Self-Bunching in the Schwinger Effect in Spacetime-Dependent Electric Fields
Hebenstreit, F., Alkofer, R., & Gies, H. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.180403 · Cited by 136
Strings in an electric field, and the Milne Universe
Berkooz, M., & Pioline, B. (2003) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2003/11/007 · Cited by 88
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72
Vacuum instability and pair production in an optical setting
Dreisow, F., Longhi, S., Nolte, S., Tünnermann, A., & Szameit, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.110401 · Cited by 42
Dirac Dynamics in Waveguide Arrays: From Zitterbewegung to Photonic Topological Insulators
Dreisow, F., Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Keil, R., Nolte, S., Segev, M., & Szameit, A. (2017) · Quantum Science and Technology · doi:10.1007/978-3-319-52025-4_8 · Cited by 4
Metadata
- Authors
- Brezin, E., & Itzykson, C.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1970-10-01
- Volume
- 2
- Issue
- 7
- Pages
- 1191-1199
- ISSN
- 0556-2821
- Cited by
- 515
- References
- 1
- Language
- en
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
