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Separable and non-separable multi-field inflation and large non-Gaussianity

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Separable and non-separable multi-field inflation and large non-Gaussianity. / Mazumdar, Anupam; Wang, Lingfei.
In: Journal of Cosmology and Astroparticle Physics, Vol. 2012, No. 9, 5, 05.09.2012.

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Mazumdar A, Wang L. Separable and non-separable multi-field inflation and large non-Gaussianity. Journal of Cosmology and Astroparticle Physics. 2012 Sept 5;2012(9):5. doi: 10.1088/1475-7516/2012/09/005

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Mazumdar, Anupam ; Wang, Lingfei. / Separable and non-separable multi-field inflation and large non-Gaussianity. In: Journal of Cosmology and Astroparticle Physics. 2012 ; Vol. 2012, No. 9.

Bibtex

@article{c409827110084801ba3ede2bd27bff6d,
title = "Separable and non-separable multi-field inflation and large non-Gaussianity",
abstract = "In this paper we provide a general framework based on $\delta N$ formalism to estimate the cosmological observables pertaining to the cosmic microwave background radiation for non-separable potentials, and for generic \emph{end of inflation} boundary conditions. We provide analytical and numerical solutions to the relevant observables by decomposing the cosmological perturbations along the curvature and the isocurvature directions, \emph{instead of adiabatic and entropy directions}. We then study under what conditions large bi-spectrum and tri-spectrum can be generated through phase transition which ends inflation. In an illustrative example, we show that large $f_{NL}\sim {\cal O}(80)$ and $\tau_{NL}\sim {\cal O}(20000)$ can be obtained for the case of separable and non-separable inflationary potentials.",
keywords = "non-gaussianity, cosmological perturbation theory, inflation",
author = "Anupam Mazumdar and Lingfei Wang",
note = "21 pages, 6 figures",
year = "2012",
month = sep,
day = "5",
doi = "10.1088/1475-7516/2012/09/005",
language = "English",
volume = "2012",
journal = "Journal of Cosmology and Astroparticle Physics",
issn = "1475-7516",
publisher = "IOP Publishing",
number = "9",

}

RIS

TY - JOUR

T1 - Separable and non-separable multi-field inflation and large non-Gaussianity

AU - Mazumdar, Anupam

AU - Wang, Lingfei

N1 - 21 pages, 6 figures

PY - 2012/9/5

Y1 - 2012/9/5

N2 - In this paper we provide a general framework based on $\delta N$ formalism to estimate the cosmological observables pertaining to the cosmic microwave background radiation for non-separable potentials, and for generic \emph{end of inflation} boundary conditions. We provide analytical and numerical solutions to the relevant observables by decomposing the cosmological perturbations along the curvature and the isocurvature directions, \emph{instead of adiabatic and entropy directions}. We then study under what conditions large bi-spectrum and tri-spectrum can be generated through phase transition which ends inflation. In an illustrative example, we show that large $f_{NL}\sim {\cal O}(80)$ and $\tau_{NL}\sim {\cal O}(20000)$ can be obtained for the case of separable and non-separable inflationary potentials.

AB - In this paper we provide a general framework based on $\delta N$ formalism to estimate the cosmological observables pertaining to the cosmic microwave background radiation for non-separable potentials, and for generic \emph{end of inflation} boundary conditions. We provide analytical and numerical solutions to the relevant observables by decomposing the cosmological perturbations along the curvature and the isocurvature directions, \emph{instead of adiabatic and entropy directions}. We then study under what conditions large bi-spectrum and tri-spectrum can be generated through phase transition which ends inflation. In an illustrative example, we show that large $f_{NL}\sim {\cal O}(80)$ and $\tau_{NL}\sim {\cal O}(20000)$ can be obtained for the case of separable and non-separable inflationary potentials.

KW - non-gaussianity

KW - cosmological perturbation theory

KW - inflation

U2 - 10.1088/1475-7516/2012/09/005

DO - 10.1088/1475-7516/2012/09/005

M3 - Journal article

VL - 2012

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 9

M1 - 5

ER -