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The delta-N formalism is considered to calculate the evolution of the curvature perturbation in generalized multi-field inflation models. The result is consistent with the usual calculation of the standard kinetic term. For the calculation…

High Energy Physics - Theory · Physics 2009-11-23 Tomohiro Matsuda

Precise understanding of nonlinear evolution of cosmological perturbations during inflation is necessary for the correct interpretation of measurements of non-Gaussian correlations in the cosmic microwave background and the large-scale…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Naonori S. Sugiyama , Eiichiro Komatsu , Toshifumi Futamase

We study density perturbations, including their non-Gaussianity, in models in which the decay rate of the curvaton depends on another light scalar field, denoted the modulaton. Although this model shares some similarities with the standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 David Langlois , Tomo Takahashi

We use the delta N -formalism to investigate the non-Gaussianity of the primordial curvature perturbation in the curvaton scenario for the origin of structure. We numerically calculate the full probability distribution function allowing for…

Astrophysics · Physics 2010-04-06 Misao Sasaki , Jussi Valiviita , David Wands

The $\delta N$ formalism is a powerful approach to compute non-linearly the large-scale evolution of the comoving curvature perturbation $\zeta$. It assumes a set of FLRW patches that evolve independently, but in doing so, all the gradient…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-05 Danilo Artigas , Shi Pi , Takahiro Tanaka

Recently, the primordial non-Gaussianity in the curvaton model has been predicted assuming sudden decay of the curvaton. We extend the calculation to non-instantaneous decay by employing delta N -formalism. The difference between the…

Astrophysics · Physics 2007-05-23 Jussi Valiviita , Misao Sasaki , David Wands

We propose a new variant model of the modulated reheating. If particles have large scale fluctuations on their velocities, or equivalently their Lorentz factors, the decay rate also fluctuates and the curvature perturbation is induced via…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Kazunori Nakayama , Teruaki Suyama

The standard $\delta N$ formalism is a cornerstone technique for calculating nonlinear curvature perturbations on super-Hubble scales. However, its validity relies heavily on the separate universe assumption, in which spatial gradients are…

General Relativity and Quantum Cosmology · Physics 2026-02-24 S. Mohammad Ahmadi , Nahid Ahmadi

We study primordial density perturbations generated by the late decay of a curvaton field whose decay rate may be modulated by the local value of another isocurvature field, analogous to models of modulated reheating at the end of…

High Energy Physics - Theory · Physics 2015-06-12 Hooshyar Assadullahi , Hassan Firouzjahi , Mohammad Hossein Namjoo , David Wands

We revisit the dynamics of the curvaton in detail taking account of effects from thermal environment, effective potential and decay/dissipation rate for general field values and couplings. We also consider the curvature perturbation…

High Energy Physics - Phenomenology · Physics 2015-06-18 Kyohei Mukaida , Kazunori Nakayama , Masahiro Takimoto

Using the nonlinear $\delta N$ formalism, we consider a simple exactly soluble model of multi-component slow-roll inflation in which the nonlinear curvature perturbation can be evaluated analytically.

Astrophysics · Physics 2008-11-26 Misao Sasaki

Inflating curvaton can create curvature perturbation when the curvaton density is slowly varying. Using the delta-N formalism, we discuss the evolution of the curvature perturbation during curvaton inflation and find analytic formulation of…

High Energy Physics - Phenomenology · Physics 2013-06-26 Seishi Enomoto , Kazunori Kohri , Tomohiro Matsuda

In general a weakly self-interacting curvaton field is expected and the curvaton potential takes the polynomial form. The curvaton potential can be dominated by the self-interaction term during the period of inflation if the curvaton field…

High Energy Physics - Theory · Physics 2011-02-07 Qing-Guo Huang

This paper considers warm inflation as an interesting application of multi-field inflation. Delta-N formalism is used for the calculation of the evolution of the curvature perturbations during warm inflation. Although the perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-28 Tomohiro Matsuda

Using the \delta N formalism we consider the non-linear curvature perturbation in multi-field models of inflation with non-minimal coupling. In particular, we focus on the relation between the \delta N formalism as applied in the…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-25 Jonathan White , Masato Minamitsuji , Misao Sasaki

The delta N formula that relates the final curvature perturbation on comoving slices to the inflaton perturbation on flat slices after horizon crossing is a powerful and intuitive tool to compute the curvature perturbation spectrum from…

Astrophysics · Physics 2009-10-09 Hyun-Chul Lee , Misao Sasaki , Ewan D. Stewart , Takahiro Tanaka , Shuichiro Yokoyama

We clarify the behavior of curvature perturbations in a nonlinear theory in case the inflaton temporarily stops during inflation. We focus on the evolution of curvature perturbation on superhorizon scales by adopting the spatial gradient…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Yu-ichi Takamizu , Jun'ichi Yokoyama

We investigate the non-Gaussianity of primordial curvature perturbation in the modulated reheating scenario where the primordial perturbation is generated due to the spacial fluctuation of the inflaton decay rate to radiation. We use the…

Astrophysics · Physics 2008-11-26 Teruaki Suyama , Masahide Yamaguchi

In contrast to the inflaton's case, the curvature perturbations due to the curvaton field depend strongly on the evolution of the curvaton before its decay. We study in detail the dynamics of the curvaton evolution during and after…

High Energy Physics - Phenomenology · Physics 2008-11-26 Konstantinos Dimopoulos , George Lazarides , David Lyth , Roberto Ruiz de Austri

In this paper, we will use $\delta \mathcal{N}$-formalism to calculate the primordial curvature perturbation for the curvaton model with a Lagrange multiplier field. We calculate the non-linearity parameters $f_{NL}$ and $g_{NL}$ in the…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-27 Chao-Jun Feng , Xin-Zhou Li
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