On non-Gaussianities in single-field inflation
Open accessAbstract
We study the impact of higher dimension operators in the inflaton Lagrangian on the non-Gaussianity of the scalar spectrum. These terms can strongly enhance the effect without spoiling slow-roll, though it is difficult to exceed f NL ~1, because the scale which suppresses the operators cannot be too low, if we want the effective field theory description to make sense. In particular we explicitly calculate the three-point function given by an higher derivative interaction of the form (∇ϕ) 4 , which is expected to give the most important contribution. The angular dependence of the result turns out to be quite different from the minimal case without higher dimension operators.
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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 [9]
The Abstract says higher-dimension operators, including a higher-derivative interaction, can strongly enhance non-Gaussianity. The Conclusions say the predicted effect is near the threshold of detectability. Our copy does not identify ghost inflation or Dirac–Born–Infeld inflation as examples, so those specifics are not supported by this source. (LLM, conf=0.86)
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Research works printed but not linked: 21
- The literature about this so-called 'trans-Planckian' problem is quite broad. See e.g. Brandenberger R H and Martin J, On signatures of short distance physics in the cosmic microwave background, 2002 Int. J. Mod. Phys. A 17 3663 [SPIRES] [hep-th/0202142] · arXiv
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- Knox L, Future probes of the primordial scalar and tensor perturbation spectra: prospects from the CMB, cosmic shear and high-volume redshift surveys, 2003 Preprint astro-ph/0304370 · arXiv
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- Acquaviva V, Bartolo N, Matarrese S and Riotto A, Second-order cosmological perturbations from inflation, 2002 Preprint astro-ph/0209156 · arXiv
- For recent experimental limits on non-Gaussianity in the CMBR see Komatsu E et al, First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: tests of Gaussianity, 2003 Preprint astro-ph/0302223 and references therein · arXiv
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- Zaldarriaga M, Non-Gaussianities in models with a varying inflaton decay rate, 2003 Preprint astro-ph/0306006 · arXiv
- Arkani-Hamed N, Cheng H C, Creminelli P and Randall L, Extranatural inflation, 2003 Preprint hep-th/0301218 · arXiv
- Arkani-Hamed N, Cheng H C, Creminelli P and Randall L, Pseudonatural inflation, 2003 Preprint hep-th/0302034 · arXiv
- Kaplan D E and Weiner N J, Little inflatons and gauge inflation, 2003 Preprint hep-ph/0302014 · arXiv
- Armendariz-Picon C, Damour T and Mukhanov V, k-inflation, 1999 Phys. Lett. B 458 209 [SPIRES] [hep-th/9904075] · arXiv
- Komatsu E, The pursuit of non-Gaussian fluctuations in the Cosmic Microwave Background, 2002 Preprint astro-ph/0206039 · arXiv
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Cited by
Sorted by citations
Dalal, N., Doré, O., Huterer, D., & Shirokov, A. (2008) · Physical Review D · doi:10.1103/physrevd.77.123514 · Cited by 830 · see citing works
Non-Gaussianities in two-field inflation
Vernizzi, F., & Wands, D. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/05/019 · Cited by 274 · see citing works
McFadden, P., & Skenderis, K. (2010) · arXiv · doi:10.48550/arxiv.1011.0452 · Cited by 100
- Authors
- Creminelli, P.
- Affiliations
- Harvard University (US)
- Corresponding author
- Creminelli, Paolo
- ORCID
- Creminelli, Paolo
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2003-10-03
- Volume
- 2003
- Issue
- 10
- Pages
- 003-003
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2104264206
- Cited by
- 270
- References
- 0
- Citations by year
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- FWCI
- 7.52
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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
- non-Gaussianity, single-field inflation, higher-dimensional operators, slow-roll inflation, three-point functions, bispectrum, angular dependence, effective field theory, primordial scalar perturbations
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