Non-gaussian features of primordial fluctuations in single field inflationary models
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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]
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Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070 · see citing works
Anti De Sitter Space And Holography
Witten, E. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802150 · Cited by 374 · see citing works
Is There Really a de Sitter/CFT Duality
Dyson, L., Lindesay, J., & Susskind, L. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/08/045 · Cited by 165 · see citing works
Flagged first, then by citations
Research works printed but not linked: 43
- 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
- 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
- V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, Second-order cosmological perturbations from inflation, astro-ph/0209156. · arXiv
- E. Witten, Quantum gravity in de Sitter space, hep-th/0106109. · arXiv
- A. Strominger, The dS/CFT correspondence, J. High Energy Phys. 10 (2001) 034 [hep-th/0106113]. · arXiv
- 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
- 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
- F. Bernardeau and J.-P. Uzan, Non-gaussianity in multi-field inflation, Phys. Rev. D 66 (2002) 103506 [hep-ph/0207295]; · arXiv
- N. Bartolo, S. Matarrese and A. Riotto, Non-gaussianity from inflation, Phys. Rev. D 65 (2002) 103505 [hep-ph/0112261]; · arXiv
- A.D. Linde and V. Mukhanov, Nongaussian isocurvature perturbations from inflation, Phys. Rev. D 56 (1997) 535 [astro-ph/9610219]; · arXiv
- 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
- N. Birrel and P. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge 1982.
- 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
- 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
- U.H. Danielsson, A note on inflation and transplanckian physics, Phys. Rev. D 66 (2002) 023511 [hep-th/0203198]; · arXiv
- 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
- 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
- E. Komatsu, The pursuit of non-gaussian fluctuations in the cosmic microwave background, astro-ph/0206039. · arXiv
- 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
- 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
- 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
- J. Polchinski, Superstring theory, Cambridge University Press, Cambridge 1998 .
- 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
- 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
- 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
- O. DeWolfe and D.Z. Freedman, Notes on fluctuations and correlation functions in holographic renormalization group flows, hep-th/0002226. · arXiv
- 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
- M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119]. · arXiv
- K. Skenderis, Lecture notes on holographic renormalization, Class. and Quant. Grav. 19 (2002) 5849 [hep-th/0209067]. · arXiv
- 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
- 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
- J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200]. · arXiv
- 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
- E. Witten, AdS/CFT correspondence and topological field theory, J. High Energy Phys. 12 (1998) 012 [hep-th/9812012]. · arXiv
- 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
- J. de Boer, E. Verlinde and H. Verlinde, On the holographic renormalization group, J. High Energy Phys. 08 (2000) 003 [hep-th/9912012]. · arXiv
- D. Klemm, Some aspects of the de Sitter/CFT correspondence, Nucl. Phys. B 625 (2002) 295 [hep-th/0106247]; · arXiv
- 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
- M. Spradlin and A. Volovich, Vacuum states and the S-matrix in dS/CFT, Phys. Rev. D 65 (2002) 104037 [hep-th/0112223]; · arXiv
- V. Balasubramanian, J. de Boer and D. Minic, Exploring de Sitter space and holography, Ann. Phys. (NY) 303 (2003) 59 [hep-th/0207245]. · arXiv
- 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
- I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104]. · arXiv
- E. Witten, Multi-trace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258. · arXiv
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- Authors
- Maldacena, J.
- Affiliations
- Institute for Advanced Study (US)
- Corresponding author
- Maldacena, Juan
- ORCID
- 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
- bronze
- doi.org
- 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
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