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Phys. Rev. Lett. 95, 121302 (2005) [4 pages]

Inflationary Prediction for Primordial Non-Gaussianity

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David H. Lyth1,* and Yeinzon Rodríguez1,2,†
1Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom
2Centro de Investigaciones, Universidad Antonio Nariño, Cll 58A # 37-94, Bogotá D.C., Colombia

Received 8 April 2005; published 16 September 2005

We extend the δN formalism so that it gives all of the stochastic properties of the primordial curvature perturbation ζ 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 fNL of the bispectrum of ζ, 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.121302
DOI:
10.1103/PhysRevLett.95.121302
PACS:
98.80.Cq

*Electronic address: d.lyth@lancaster.ac.uk

Electronic address: y.rodriguezgarcia@lancaster.ac.uk