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1 Introduction 5 2 The inflationary paradigm 15 2.1 The slow–rolling inflaton field 18 2.2 Inflation and cosmological perturbations 21 2.3 Quantum fluctuations of a generic scalar field during a de Sitter stage 24 2.4 Quantum fluctuations of a generic scalar field in a quasi–de Sitter stage 30 2.5 Correlation functions of a self interacting scalar field 32… (More)

We provide the gauge-invariant expression for large-scale cosmic microwave background temperature fluctuations at second-order perturbation theory. This enables us to define unambiguously the nonlinearity parameter f(NL), which is used by experimental collaborations to pin down the level of non-Gaussianity in the temperature fluctuations. Furthermore, it… (More)

- Daisuke Nitta, Eiichiro Komatsu, Nicola Bartolo, Sabino Matarrese, Antonio Riotto
- 2009

We calculate the bispectrum of the Cosmic Microwave Background (CMB) temperature anisotropies induced by the second-order fluctuations in the Boltzmann equation. In this paper, which is one of a series of papers on the numerical calculation of the bispectrum from the second-order fluctuations, we consider the terms that are products of the first-order… (More)

- N Bartolo, S Matarrese, A Riotto
- 2008

Correlated adiabatic and isocurvature perturbation modes are produced during inflation through an oscillation mechanism when extra scalar degrees of freedom-other than the inflaton field are present. We show that this correlation generically leads to sizeable non-Gaussian features both in the adiabatic and isocurvature perturbations. The non-Gaussianity is… (More)

- N Bartolo, S Matarrese, A Riotto
- 2003

We study the evolution of cosmological perturbations on large scales, up to second order, for a perfect fluid with generic equation of state. Taking advantage of super-horizon conservation laws, it is possible to follow the evolution of the non-Gaussianity of perturbations through the different stages after inflation. We find that a large non-linearity is… (More)

Based on Cosmic Microwave Background (CMB) maps from the 2013 Planck Mission data release, this paper presents the detection of the Integrated Sachs-Wolfe (ISW) effect, i.e., the correlation between the CMB and large-scale evolving gravitational potentials. The significance of detection ranges from 2 to 4 σ, depending on which method is used. We investigate… (More)

- Emanuela Dimastrogiovanni, Nicola Bartolo
- 2008

We compute one-loop corrections to the power spectrum of the curvature perturbation in single-field slow-roll inflation arising from gravitons and inflaton interactions. The quantum corrections due to gravitons to the power spectrum of the inflaton field are computed around the time of horizon crossing and their effect on the curvature perturbation is… (More)

- N Bartolo, Andrew R Liddle
- 2007

We analyze the simplest possible realization of the curvaton scenario, where a nearly scale-invariant spectrum of adiabatic perturbations is generated by conversion of an isocurvature perturbation generated during inflation, rather than the usual inflationary mechanism. We explicitly evaluate all the constraints on the model, under both the assumptions of… (More)

- N Bartolo, S Matarrese, A Riotto
- 2008

- N Bartolo, S Matarrese, A Riotto
- 2001

We study adiabatic and isocurvature perturbations produced during a period of cosmological inflation. We compute the power spectra and cross spectra of the curvature and isocurvature modes, as well as the tensor perturbation spectrum in terms of the slow-roll parameters. We provide two consistency relations for the amplitudes and spectral indices of the… (More)