Inflationary prediction for primordial non-gaussianity.

By D. Lyth, Y. Rodríguez. Physical Review Letters, 2005

632 citations recorded by the source corpus.

We extend the deltaN formalism so that it gives all of the stochastic properties of the primordial curvature perturbation zeta if the initial field perturbations are Gaussian. The calculation requires only the knowledge of some family of unperturbed universes. A formula is given for the normalization f(NL) of the bispectrum of zeta, which is the main signal of non-Gaussianity. Examples of the use of the formula are given, and its relation to cosmological perturbation theory is explained.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/531e90944e8d1ce505b123afd7051c3083b6fa8e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Xingang Chen
2. E. Komatsu
3. M. Zaldarriaga
4. A. Banday
5. C. Byrnes
6. Volker Springel
7. D. Baumann
8. L. Senatore

In Nuclear and High Energy Physics

1. Xingang Chen
2. E. Komatsu
3. C. Byrnes
4. D. Wands
5. Yi Wang
6. Kiwoon Choi
7. D. Seery
8. M. Zaldarriaga

Citations in the corpus

• Inflation, Cosmic Perturbations and Non-Gaussianities (2013, background): “This relation is known as the δN -formalism [80–82].”
• COrE (Cosmic Origins Explorer) A White Paper (2011, background): “, [100, 101, 102, 103]); models with non-canonical kinetic term [88] (as, e.”
• Review of local non-Gaussianity from multi-field inflation (2010, methodology): “Lyth and Rodrı́guez [11] used the δN formalism including the quadratic terms (second order terms in (2)) to calculate the non-Gaussianity.”
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity (2019, background): “In the minimal adiabatic curvaton scenario f localNL = (5/4rD) − 5rD/6 − 5/3 (Bartolo et al. 2004d,c), in the case when the curvaton field potential is purely quadratic (Lyth & Wands 2002; Lyth et al. 2003; Lyth & Rodriguez 2005; Malik & Lyth 2006; Sasaki et al. 2006).”
• Primordial non-Gaussianities from multiple-field inflation (2005, methodology): “By comparison, our understanding of the multi-field scenario is less developed, although some progress has been made [33, 34, 35, 36, 37, 38, 18, 19, 14, 15 , 39, 40, 41].”
• Infrared effects in inflationary correlation functions (2010, methodology): “Boubekeur and Lyth [49], and later Lyth and Rodrı́guez [50], remarked that because the logarithmic behaviour is softened in the limit q k, the log-divergent part only receives contributions for q k.”