The DOI matches its Crossref record.
Primordial statistical anisotropy generated at the end of inflation
Open accessAbstract
We present a new mechanism for generating primordial statistical anisotropy of curvature perturbations. We introduce a vector field which has a non-minimal kinetic term and couples with a waterfall field in a hybrid inflation model. In such a system, the vector field gives fluctuations of the end of inflation and hence induces a subcomponent of curvature perturbations. Since the vector has a preferred direction, the statistical anisotropy could appear in the fluctuations. We present the explicit formula for the statistical anisotropy in the primordial power spectrum and the bispectrum of curvature perturbations. Interestingly, there is the possibility that the statistical anisotropy does not appear in the power spectrum but does appear in the bispectrum. We also find that the statistical anisotropy provides the shape dependence to the bispectrum.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
Anisotropic spatial curvature induces anisotropic expansion, which affects the free streaming of photons and deforms the surface of last scattering, along with perception of angular scales on it.
“Indeed, anisotropic spatial curvature induces anisotropic expansion, which affects the free streaming of photons and thus deforms the surface of last scattering, along with our perception of angular scales on it [37].”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [37]
The Introduction and Summary discuss statistical anisotropy in primordial curvature perturbations, not anisotropic spatial curvature causing anisotropic expansion. Searches for photon free streaming, the surface of last scattering, and perceived angular scales found no passage addressing the claimed causal chain; page numbers were unavailable in our copy. (LLM, conf=0.76)
Experimental — accuracy not yet measuredLate-time anisotropic expansion induces a quadrupole in the CMB at order Ω0curv, which absent cancellations provides a stronger constraint on Ω0curv.
“however it should be emphasized that late-time anisotropic expansion induces a quadrupole in the CMB, itself appearing at order Ω 0 curv , which absent cancellations provides a stronger constraint on Ω 0 curv [37].”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [37]
The Introduction and Summary discuss primordial statistical anisotropy generated at the end of inflation, not late-time anisotropic expansion. Searches for a CMB quadrupole, Ωcurv, and a resulting constraint found no passage addressing the attributed claim. Page numbers are unavailable in our copy. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 37
- Eriksen H K, 2004, Astrophys. J., 605, 14, 10.1086/382267 · DOI · Paper page
- Eriksen H K, 2004, Astrophys. J., 609, 1198, 10.1086/421972 · DOI
- 10.1111/j.1365-2966.2004.08229.x · DOI
- Jaffe T R, 2005, Astrophys. J., 629, L1, 10.1086/444454 · DOI
- Eriksen H K, 2007, Astrophys. J., 660, L81, 10.1086/518091 · DOI
- 10.1103/PhysRevD.69.063516 · DOI · Paper page
- 10.1103/PhysRevLett.95.071301 · DOI
- 10.1111/j.1365-2966.2007.11749.x · DOI
- Hajian A, 2003, Astrophys. J., 597, L5, 10.1086/379757 · DOI
- 10.1103/PhysRevD.74.123521 · DOI
- Armendariz-Picon C, 2006, J. Cosmol. Astropart. Phys., 2006, 002, 10.1088/1475-7516/2006/03/002 · DOI
- Armendariz-Picon C, 2007, J. Cosmol. Astropart. Phys., 2007, 014, 10.1088/1475-7516/2007/09/014 · DOI
- Gumrukcuoglu A E, 2007, J. Cosmol. Astropart. Phys., 2007, 005, 10.1088/1475-7516/2007/11/005 · DOI · Paper page
- 10.1111/j.1365-2966.2005.09980.x · DOI
- 10.1103/PhysRevD.75.023507 · DOI
- 10.1103/PhysRevD.72.103002 · DOI
- 10.1103/PhysRevD.77.023534 · DOI
- 10.1103/PhysRevD.75.083502 · DOI · Paper page
- Pereira T S, 2007, J. Cosmol. Astropart. Phys., 2007, 006, 10.1088/1475-7516/2007/09/006 · DOI · Paper page
- Pitrou C, 2008, J. Cosmol. Astropart. Phys., 2008, 004, 10.1088/1475-7516/2008/04/004 · DOI · Paper page
- 10.1103/PhysRevD.76.103529 · DOI
- Lyth D H, 2005, J. Cosmol. Astropart. Phys., 2005, 006, 10.1088/1475-7516/2005/11/006 · DOI
- Alabidi L, 2006, J. Cosmol. Astropart. Phys., 2006, 006, 10.1088/1475-7516/2006/08/006 · DOI
- 10.1103/PhysRevD.72.123516 · DOI
- 10.1103/PhysRevLett.97.121301 · DOI
- 10.1103/PhysRevD.67.121301 · DOI · Paper page
- 10.1103/PhysRevD.70.083004 · DOI
- 10.1143/PTP.95.71 · DOI · Paper page
- 10.1143/PTP.99.763 · DOI · Paper page
- Lyth D H, 2005, J. Cosmol. Astropart. Phys., 2005, 004, 10.1088/1475-7516/2005/05/004 · DOI · Paper page
- 10.1103/PhysRevLett.95.121302 · DOI · Paper page
- 10.1103/PhysRevD.62.043527 · DOI · Paper page
- Martin J, 2008, J. Cosmol. Astropart. Phys., 2008, 025, 10.1088/1475-7516/2008/01/025 · DOI
- Maldacena J M, 2003, J. High Energy Phys., 2003, 013, 10.1088/1126-6708/2003/05/013 · DOI · Paper page
- 10.1103/PhysRevD.63.063002 · DOI
- 10.1103/PhysRevD.74.083502 · DOI
- 10.1103/PhysRevD.76.063506 · DOI
Cited by
Sorted by citations
Observable effects of anisotropic bubble nucleation
Blanco-Pillado, J. J., & Salem, M. P. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/007 · Cited by 44
Metadata
- Authors
- Yokoyama, S., & Soda, J.
- Affiliations
- Nagoya University (JP)
- Kyoto University (JP)
- ORCID
- Soda, Jiro
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2008-08-06
- Volume
- 2008
- Issue
- 08
- Pages
- 005
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2073441565
- Cited by
- 189
- References
- 0
- Citations by year
- 2026: 3 · 2025: 2 · 2024: 3 · 2023: 1 · 2022: 5 · 2021: 2 · 2020: 4 · 2019: 6 · 2018: 5 · 2017: 9 · 2016: 13 · 2015: 7 · 2014: 15 · 2013: 32 · 2012: 19
- FWCI
- 9.19
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science (18654047, 17340075, 18740132, 18540277, 18540262)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- curvature perturbations, hybrid inflation, waterfall field, vector fields, end of inflation, primordial bispectrum, primordial power spectrum
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.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
