Cited by 1,064Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

DBI in the sky: Non-Gaussianity from inflation with a speed limit

Open access
Alishahiha, Mohsen, Silverstein, Eva, Tong, David·2004·Physical Review D

Abstract

We analyze the spectrum of density perturbations generated in models of the recently discovered ``D-cceleration'' mechanism of inflation. In this scenario, strong coupling quantum field theoretic effects sum to provide a Dirac-Born-Infeld--like action for the inflaton. We show that the model has a strict lower bound on the non-Gaussianity of the cosmic microwave background radiation power spectrum at an observable level, and is thus falsifiable. This, in particular, observationally distinguishes this mechanism from traditional slow-roll inflation generated by weakly interacting scalar fields. The model also favors a large observable tensor component to the cosmic microwave background radiation spectrum.

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 · 10.1103/physrevd.70.123505

Cites

1 of 1 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?

  • Inflationary models with higher derivative operators, such as ghost inflation or inflation based on the Dirac-Born-Infeld action, can produce higher non-Gaussianity, possibly detectable.

    “On the other hand, inflationary models with higher derivative operators, such as ghost inflation or inflation based on the Dirac-Born-Infeld action, can produce higher non-Gaussianity [6, 7, 8, 9], possibly detectable.”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [7]

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: 37

  1. [1][1] E. Komatsu et al. , 'First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity,' Astrophys. J. Suppl. 148 , 119 (2003) [arXiv:astroph/0302223]. -
  2. [2][2] V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, 'Second-order cosmological perturbations from inflation,' Nucl. Phys. B 667 , 119 (2003) [arXiv:astroph/0209156]. -
  3. [3][3] J. Maldacena, 'Non-Gaussian features of primordial fluctuations in single field inflationary models,' JHEP 0305 , 013 (2003) [arXiv:astro-ph/0210603]. - · arXiv
  4. [4][4] E. Silverstein and D. Tong, 'Scalar speed limits and cosmology: Acceleration from D-cceleration,' arXiv:hep-th/0310221. - · arXiv
  5. [5][5] L. Kofman, A. Linde, X. Liu, A. Maloney, L. McAllister, and E. Silverstein, 'Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points,' arXiv:hep-th/0403001 - · arXiv
  6. [6][6] J. M. Maldacena, 'Branes probing black holes,' Nucl. Phys. Proc. Suppl. 68 , 17 (1998) [arXiv:hep-th/9709099]. - · arXiv
  7. [7][7] D. Kabat and G. Lifschytz, 'Gauge theory origins of supergravity causal structure,' JHEP 9905 , 005 (1999) [arXiv:hep-th/9902073]. - · arXiv
  8. [9][9] A. R. Liddle and D. H. Lyth, 'Cosmological Inflation And Large-Scale Structure,', Cambridge University Press. -
  9. [10][10] J. Garriga and V. F. Mukhanov, 'Perturbations in k-inflation,' Phys. Lett. B 458 , 219 (1999) [arXiv:hep-th/9904176]. - · arXiv
  10. [11][11] C. Armendariz-Picon, T. Damour and V. Mukhanov, 'k-inflation,' Phys. Lett. B 458 , 209 (1999) [arXiv:hep-th/9904075]. - · arXiv
  11. [12][12] P. Creminelli, 'On non-gaussianities in single-field inflation,' JCAP 0310 , 003 (2003) [arXiv:astro-ph/0306122]. - · arXiv
  12. [13][13] N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, 'Ghost inflation,' arXiv:hep-th/0312100. - · arXiv
  13. [14][14] D. H. Lyth, C. Ungarelli and D. Wands, 'The primordial density perturbation in the curvaton scenario,' Phys. Rev. D 67 , 023503 (2003) [arXiv:astro-ph/0208055]. - · arXiv
  14. [15][15] G. Dvali, A. Gruzinov and M. Zaldarriaga, 'A new mechanism for generating density perturbations from inflation,' Phys. Rev. D 69 , 023505 (2004) [arXiv:astroph/0303591]. -
  15. [16][16] L. Kofman, 'Probing string theory with modulated cosmological fluctuations,' arXiv:astro-ph/0303614. - · arXiv
  16. [17][17] M. Zaldarriaga, 'Non-Gaussianities in models with a varying inflaton decay rate,' Phys. Rev. D 69 , 043508 (2004) [arXiv:astro-ph/0306006]. - · arXiv
  17. [18][18] F. Bernardeau and J. P. Uzan, 'Non-Gaussianity in multi-field inflation,' Phys. Rev. D 66 , 103506 (2002) [arXiv:hep-ph/0207295]. - · arXiv
  18. [19][19] H. Verlinde, 'Holography and compactification,' Nucl. Phys. B 580 , 264 (2000) [arXiv:hep-th/9906182]. S. B. Giddings, S. Kachru and J. Polchinski, 'Hierarchies from fluxes in string compactifications,' Phys. Rev. D 66 , 106006 (2002) [arXiv:hep-th/0105097]. S. Kachru, R. Kallosh, A. Linde and S. P. Trivedi, 'De Sitter vacua in string theory,' Phys. Rev. D 68 , 046005 (2003) [arXiv:hep-th/0301240]. - · arXiv
  19. [20][20] L. Randall and R. Sundrum, 'A large mass hierarchy from a small extra dimension,' Phys. Rev. Lett. 83 , 3370 (1999) [arXiv:hep-ph/9905221]. - · arXiv
  20. [21][21] S. Kachru, R. Kallosh, A. Linde, J. Maldacena, L. McAllister and S. P. Trivedi, 'Towards inflation in string theory,' JCAP 0310 , 013 (2003) [arXiv:hep-th/0308055]. - · arXiv
  21. [22][22] A. Fotopoulos and A. A. Tseytlin, 'On gravitational couplings in D-brane action,' JHEP 0212 , 001 (2002) [arXiv:hep-th/0211101]. - · arXiv
  22. [23][23] N. Seiberg and E. Witten, 'The D1/D5 system and singular CFT,' JHEP 9904 , 017 (1999) [arXiv:hep-th/9903224]. - · arXiv
  23. [25][25] S. Kachru and L. McAllister, 'Bouncing brane cosmologies from warped string compactifications,' JHEP 0303 , 018 (2003) [arXiv:hep-th/0205209]. - · arXiv
  24. [26][26] N. Barnaby and J. M. Cline, 'Tachyon defect formation and reheating in braneantibrane inflation,' Int. J. Mod. Phys. A 19 , 5455 (2004) [arXiv:hep-th/0410030]. - · arXiv
  25. [27][27] R. H. Brandenberger and J. Martin, 'On signatures of short distance physics in the cosmic microwave background,' Int. J. Mod. Phys. A 17 , 3663 (2002) [arXiv:hep- th/0202142]. U. H. Danielsson, 'A note on inflation and transplanckian physics,' Phys. Rev. D 66 , 023511 (2002) [arXiv:hep-th/0203198]. R. Easther, B. R. Greene, W. H. Kinney and G. Shiu, 'A generic estimate of transPlanckian modifications to the primordial power spectrum in inflation,' Phys. Rev. D 66 , 023518 (2002) [arXiv:hep-th/0204129]. U. H. Danielsson, 'Inflation, holography and the choice of vacuum in de Sitter space,' JHEP 0207 , 040 (2002) [arXiv:hep-th/0205227]. N. Kaloper, M. Kleban, A. E. Lawrence and S. Shenker, 'Signatures of short dis- tance physics in the cosmic microwave background,' Phys. Rev. D 66 , 123510 (2002) [arXiv:hep-th/0201158]. - · arXiv
  26. [28][28] H. V. Peiris et al. , 'First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Implications for inflation,' Astrophys. J. Suppl. 148 , 213 (2003) [arXiv:astro-ph/0302225]. - · arXiv
  27. [29][29] M. Tegmark et al. [SDSS Collaboration], 'Cosmological parameters from SDSS and WMAP,' arXiv:astro-ph/0310723. - · arXiv
  28. [30][30] P. Vielva, E. Martinez-Gonzalez, R. B. Barreiro, J. L. Sanz and L. Cayon, 'Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets,' arXiv:astroph/0310273. P. Mukherjee and Y. Wang, 'Wavelets and WMAP non-Gaussianity,' arXiv:astroph/0402602. D. L. Larson and B. D. Wandelt, 'The Hot and Cold Spots in the WMAP Data are Not Hot and Cold Enough,' arXiv:astro-ph/0404037. - · arXiv
  29. [31][31] M. Bowden et al. , 'Scientific optimization of a ground-based CMB polarization experiment,' arXiv:astro-ph/0309610. - · arXiv
  30. [32][32] A. A. Tseytlin, 'On non-abelian generalisation of the Born-Infeld action in string theory,' Nucl. Phys. B 501 , 41 (1997) [arXiv:hep-th/9701125]. - · arXiv
  31. [33][33] W. I. Taylor and M. Van Raamsdonk, 'Multiple Dp-branes in weak background fields,' Nucl. Phys. B 573 , 703 (2000) [arXiv:hep-th/9910052]. - · arXiv
  32. [34][34] R. Bousso and J. Polchinski, 'Quantization of four-form fluxes and dynamical neutralization of the cosmological constant,' JHEP 0006 , 006 (2000) [arXiv:hepth/0004134]. -
  33. [35][35] L. Susskind and E. Witten, 'The holographic bound in anti-de Sitter space,' arXiv:hep-th/9805114. - · arXiv
  34. [36][36] A. D. Linde, 'Hybrid inflation,' Phys. Rev. D 49 , 748 (1994) [arXiv:astroph/9307002]. -
  35. [37][37] G. Dvali and S. Kachru, 'New old inflation,' arXiv:hep-th/0309095. - · arXiv
  36. [38][38] A. V. Frolov, L. Kofman and A. A. Starobinsky, 'Prospects and problems of tachyon matter cosmology,' Phys. Lett. B 545 , 8 (2002) [arXiv:hep-th/0204187]. - · arXiv
  37. [39][39] G. N. Felder, L. Kofman and A. Starobinsky, 'Caustics in tachyon matter and other Born-Infeld scalars,' JHEP 0209 , 026 (2002) [arXiv:hep-th/0208019]. · arXiv

Cited by

Sorted by citations

Authors
Alishahiha, M., Silverstein, E., & Tong, D.
Affiliations
  • Institute for Research in Fundamental Sciences (IR)
  • Stanford University (US)
  • Massachusetts Institute of Technology (US)
Venue
Physical Review D
Published
2004-12-03
Volume
70
Issue
12
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W2131261154
Cited by
1,064
References
1
Citations by year
2026: 20 · 2025: 23 · 2024: 30 · 2023: 21 · 2022: 28 · 2021: 37 · 2020: 33 · 2019: 35 · 2018: 33 · 2017: 26 · 2016: 51 · 2015: 35 · 2014: 51 · 2013: 75 · 2012: 60
FWCI
30.27
Type
journal article
Language
en
Open access
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
Dirac-Born-Infeld inflation, non-Gaussianity, CMB power spectrum, density perturbations, tensor-to-scalar ratio, slow-roll inflation, falsifiability

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