Cited by 2,906Cosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories

Non-gaussian features of primordial fluctuations in single field inflationary models

Open access
Maldacena, Juan·2003·Journal of High Energy Physics

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/1126-6708/2003/05/013

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

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.

A few free checks a day · papers already verified open instantly · results are public

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?

  • The size of the bispectrum during single-field, slow-roll inflation is related to the spectral tilt of the power spectrum and is constrained to be small.

    “For instance, it is known that the size of the bispectrum during single-field, slow-roll inflation is related to the spectral tilt of the power spectrum and is thus constrained to be small [5].”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [5]

  • The adiabatic nonlinear parameter can be expressed as a consistency relation between observables.

    “Note that, using Eqs. (62) and (28) for the adiabatic case, this can be expressed as a consistency relation between observables [5],”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [5]

  • In the limit t_c → t_*, the nonlinear parameter for purely adiabatic perturbations in the two-field case coincides with the single field case result.

    “which coincides with the single field case result [5, 36].”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [5]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 43

  1. T. Falk, R. Rangarajan and M. Srednicki, Dependence of density perturbations on the coupling constant in a simple model of inflation, Phys. Rev. D 46 (1992) 4232 [astro-ph/9208002]. · arXiv
  2. A. Gangui, F. Lucchin, S. Matarrese and S. Mollerach, The three point correlation function of the cosmic microwave background in inflationary models, Astrophys. J. 430 (1994) 447 [astro-ph/9312033]. · arXiv
  3. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, Second-order cosmological perturbations from inflation, astro-ph/0209156. · arXiv
  4. E. Witten, Quantum gravity in de Sitter space, hep-th/0106109. · arXiv
  5. A. Strominger, The dS/CFT correspondence, J. High Energy Phys. 10 (2001) 034 [hep-th/0106113]. · arXiv
  6. E. Komatsu and D.N. Spergel, The cosmic microwave background bispectrum as a test of the physics of inflation and probe of the astrophysics of the low-redshift universe, astro-ph/0012197. · arXiv
  7. E. Komatsu and D.N. Spergel, Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 (2001) 063002 [astro-ph/0005036]; Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 (2001) 063002 [astro-ph/0005036]. · arXiv
  8. F. Bernardeau and J.-P. Uzan, Non-gaussianity in multi-field inflation, Phys. Rev. D 66 (2002) 103506 [hep-ph/0207295]; · arXiv
  9. N. Bartolo, S. Matarrese and A. Riotto, Non-gaussianity from inflation, Phys. Rev. D 65 (2002) 103505 [hep-ph/0112261]; · arXiv
  10. A.D. Linde and V. Mukhanov, Nongaussian isocurvature perturbations from inflation, Phys. Rev. D 56 (1997) 535 [astro-ph/9610219]; · arXiv
  11. D.H. Lyth, C. Ungarelli and D. Wands, The primordial density perturbation in the curvaton scenario, Phys. Rev. D 67 (2003) 023503 [astro-ph/0208055]. · arXiv
  12. N. Birrel and P. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge 1982.
  13. R. Easther, B.R. Greene, W.H. Kinney and G. Shiu, Imprints of short distance physics on inflationary cosmology, Phys. Rev. D 67 (2003) 063508 [hep-th/0110226]; · arXiv
  14. N. Kaloper, M. Kleban, A. Lawrence, S. Shenker and L. Susskind, Initial conditions for inflation, J. High Energy Phys. 11 (2002) 037 [hep-th/0209231]; · arXiv
  15. U.H. Danielsson, A note on inflation and transplanckian physics, Phys. Rev. D 66 (2002) 023511 [hep-th/0203198]; · arXiv
  16. R. Easther, B.R. Greene, W.H. Kinney and G. Shiu, A generic estimate of trans-planckian modifications to the primordial power spectrum in inflation, Phys. Rev. D 66 (2002) 023518 [hep-th/0204129]; · arXiv
  17. N. Kaloper, M. Kleban, A.E. Lawrence and S. Shenker, Signatures of short distance physics in the cosmic microwave background, Phys. Rev. D 66 (2002) 123510 [hep-th/0201158]. · arXiv
  18. E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background, astro-ph/0206039. · arXiv
  19. T. Pyne and S.M. Carroll, Higher-order gravitational perturbations of the cosmic microwave background, Phys. Rev. D 53 (1996) 2920 [astro-ph/9510041]. · arXiv
  20. X.-c. Luo and D.N. Schramm, Testing for the gaussian nature of cosmological density perturbations through the three-point temperature correlation function, Phys. Rev. Lett. 71 (1993) 1124 [astro-ph/9305009]. · arXiv
  21. D. Munshi, T. Souradeep and A.A. Starobinsky, Skewness of cosmic microwave background temperature fluctuations due to nonlinear gravitational instability, Astrophys. J. 454 (1995) 552 [astro-ph/9501100]. · arXiv
  22. J. Polchinski, Superstring theory, Cambridge University Press, Cambridge 1998 .
  23. L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N = 4 super Yang-Mills from AdS dynamics, J. High Energy Phys. 12 (1998) 022 [hep-th/9810126]. · arXiv
  24. D.Z. Freedman, S.S. Gubser, K. Pilch and N.P. Warner, Renormalization group flows from holography supersymmetry and a c-theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017]. · arXiv
  25. G. Arutyunov, S. Frolov and S. Theisen, A note on gravity-scalar fluctuations in holographic RG flow geometries, Phys. Lett. B 484 (2000) 295 [hep-th/0003116]. JHEP05(2003)013 · arXiv
  26. O. DeWolfe and D.Z. Freedman, Notes on fluctuations and correlation functions in holographic renormalization group flows, hep-th/0002226. · arXiv
  27. M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, J. High Energy Phys. 08 (2001) 041 [hep-th/0105276]. · arXiv
  28. M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119]. · arXiv
  29. K. Skenderis, Lecture notes on holographic renormalization, Class. and Quant. Grav. 19 (2002) 5849 [hep-th/0209067]. · arXiv
  30. F. Larsen, J.P. van der Schaar and R.G. Leigh, De Sitter holography and the cosmic microwave background, J. High Energy Phys. 04 (2002) 047 [hep-th/0202127]. · arXiv
  31. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111]. · arXiv
  32. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]. · arXiv
  33. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]. · arXiv
  34. E. Witten, AdS/CFT correspondence and topological field theory, J. High Energy Phys. 12 (1998) 012 [hep-th/9812012]. · arXiv
  35. G. Lifschytz and V. Periwal, Schwinger-Dyson = Wheeler-DeWitt: gauge theory observables as bulk operators, J. High Energy Phys. 04 (2000) 026 [hep-th/0003179]. · arXiv
  36. J. de Boer, E. Verlinde and H. Verlinde, On the holographic renormalization group, J. High Energy Phys. 08 (2000) 003 [hep-th/9912012]. · arXiv
  37. D. Klemm, Some aspects of the de Sitter/CFT correspondence, Nucl. Phys. B 625 (2002) 295 [hep-th/0106247]; · arXiv
  38. R. Bousso, A. Maloney and A. Strominger, Conformal vacua and entropy in de Sitter space, Phys. Rev. D 65 (2002) 104039 [hep-th/0112218]; · arXiv
  39. M. Spradlin and A. Volovich, Vacuum states and the S-matrix in dS/CFT, Phys. Rev. D 65 (2002) 104037 [hep-th/0112223]; · arXiv
  40. V. Balasubramanian, J. de Boer and D. Minic, Exploring de Sitter space and holography, Ann. Phys. (NY) 303 (2003) 59 [hep-th/0207245]. · arXiv
  41. V. Balasubramanian, J. de Boer and D. Minic, Mass, entropy and holography in asymptotically de Sitter spaces, Phys. Rev. D 65 (2002) 123508 [hep-th/0110108]. · arXiv
  42. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104]. · arXiv
  43. E. Witten, Multi-trace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258. · arXiv

Cited by

Sorted by citations

Authors
Maldacena, J.
Affiliations
Institute for Advanced Study (US)
Corresponding author
Maldacena, Juan
Venue
Journal of High Energy Physics
Published
2003-05-09
Volume
2003
Issue
05
Pages
013-013
ISSN
1029-8479 (ISSN-L)
OpenAlex
W2035433892
Cited by
2,906
References
3
Citations by year
2026: 111 · 2025: 163 · 2024: 158 · 2023: 163 · 2022: 136 · 2021: 136 · 2020: 162 · 2019: 118 · 2018: 142 · 2017: 93 · 2016: 153 · 2015: 149 · 2014: 165 · 2013: 177 · 2012: 161
FWCI
29.69
Type
journal article
Language
en
Open access
Locations
  • Journal of High Energy Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
U.S. Department of Energy (DE‐FG02‐, FG0290ER40542)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
primordial non-Gaussianity, three-point correlation function, single-field inflation, slow-roll parameters, AdS/CFT correspondence, wave function of the universe

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