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Employing an effective field theory approach to inflationary perturbations, we analyze in detail the effect of curvature-generated Lagrangian operators on various observables, focusing on their running with scales. At quadratic order, we…

宇宙学与河外天体物理 · 物理学 2011-01-27 Nicola Bartolo , Matteo Fasiello , Sabino Matarrese , Antonio Riotto

In this paper we investigate how to describe in a unified way a constant-roll inflationary era with a dark energy era, by using the theoretical framework of $F(R)$ gravity. To this end, we introduce some classes of appropriately chosen…

广义相对论与量子宇宙学 · 物理学 2018-03-14 S. D. Odintsov , V. K. Oikonomou , L. Sebastiani

We study how large fluctuations are spatially correlated in the presence of quantum diffusion during inflation. This is done by computing real-space correlation functions in the stochastic-$\delta N$ formalism. We first derive an exact…

宇宙学与河外天体物理 · 物理学 2024-08-29 Chiara Animali , Vincent Vennin

We discuss new consistency relations for single field models of inflation capable of generating primordial black holes (PBH), and their observational implications for CMB $\mu$-space distortions. These inflationary models include a short…

宇宙学与河外天体物理 · 物理学 2022-02-09 Ogan Özsoy , Gianmassimo Tasinato

Stochastic inflation, together with the $\Delta N$ formalism, provides a powerful tool for estimating the large-scale behaviour of primordial fluctuations. In this work, we develop a numerical code to capture the non-perturbative statistics…

宇宙学与河外天体物理 · 物理学 2025-03-10 Devanshu Sharma

In single-field inflation, violation of the slow-roll approximation can lead to growth of curvature perturbation outside the horizon. This violation is characterized by a period with a large negative value of the second slow-roll parameter.…

宇宙学与河外天体物理 · 物理学 2024-10-11 Jason Kristiano , Jun'ichi Yokoyama

Inflationary predictions for the power spectrum of the curvature perturbation have been verified to an excellent degree, leaving many models compatible with observations. In this thesis we studied third-order correlations, that might allow…

宇宙学与河外天体物理 · 物理学 2013-12-03 Eleftheria Tzavara

Based on generalized holographic formalism, we establish a holographic realization of constant roll inflation during the early universe, where the corresponding cut-off depends on the Hubble parameter and its derivatives (up to the second…

广义相对论与量子宇宙学 · 物理学 2023-05-31 Shin'ichi Nojiri , Sergei D. Odintsov , Tanmoy Paul

Nonminimal coupling of the inflaton field to the Ricci curvature of spacetime is generally unavoidable, and the paradigm of inflation should be generalized by including the corresponding term in the Lagrangian of the inflationary theory.…

高能物理 - 理论 · 物理学 2014-11-18 Valerio Faraoni

We calculate the power spectrum of curvature perturbations when the inflaton field is rolling over the top of a local maximum of a potential. We show that the evolution of the field can be decomposed into a late-time attractor, which is…

天体物理学 · 物理学 2008-11-26 Konstantinos Tzirakis , William H. Kinney

We investigate the accuracy of the slow-roll approximation for calculating perturbation spectra generated during inflation. The Hamilton-Jacobi formalism is used to evolve inflationary models with different histories. Models are identified…

天体物理学 · 物理学 2010-10-27 Sirichai Chongchitnan , George Efstathiou

In slow roll inflation, the running of the spectral tilt is generically proportional to the square of the deviation from scale invariance, $\alpha_s \propto (n_s-1)^2$, and it is therefore currently undetectable. We present a mechanism able…

宇宙学与河外天体物理 · 物理学 2015-06-18 Marco Peloso , Lorenzo Sorbo , Gianmassimo Tasinato

Calculating the action and the interaction Hamiltonian at higher orders in cosmological perturbation theory is a cumbersome task. We employ the formalism of EFT of inflation in the decoupling limit for single-field ultra slow-roll (USR)…

宇宙学与河外天体物理 · 物理学 2026-05-15 Hassan Firouzjahi , Bahar Nikbakht

We investigate non-Gaussianity in general multiple-field inflation using the formalism we developed in earlier papers. We use a perturbative expansion of the non-linear equations to calculate the three-point correlator of the curvature…

天体物理学 · 物理学 2009-11-13 G. I. Rigopoulos , E. P. S. Shellard , B. J. W. van Tent

The global dynamics of a nonautonomous Carath\'eodory scalar ordinary differential equation $x'=f(t,x)$, given by a function $f$ which is concave in $x$, is determined by the existence or absence of an attractor-repeller pair of hyperbolic…

动力系统 · 数学 2023-04-14 Iacopo P. Longo , Carmen Núñez , Rafael Obaya

We investigate a model of $R^2$-gravity with a non-minimally coupled scalar field that gives rise to two-stage inflation with a break, that is, with an intermediate stage where inflation momentarily halts. We find that the power spectrum of…

宇宙学与河外天体物理 · 物理学 2024-08-06 Xinpeng Wang , Ying-li Zhang , Misao Sasaki

Primordial black holes (PBHs) cannot be produced abundantly enough to be the dark matter in canonical single-field inflation under slow roll. This conclusion is robust to local non-Gaussian correlations between long- and short-wavelength…

宇宙学与河外天体物理 · 物理学 2019-02-27 Samuel Passaglia , Wayne Hu , Hayato Motohashi

We review recent developments in the theory of inflation and cosmological perturbations produced from inflation. After a brief introduction of the standard, single-field slow-roll inflation, and the curvature and tensor perturbations…

宇宙学与河外天体物理 · 物理学 2012-10-31 Misao Sasaki

We simulate the distribution of very rare, large excursions in the primordial density field produced in models of inflation in the very early universe which include a strong enhancement of the power spectrum. The stochastic $\delta…

宇宙学与河外天体物理 · 物理学 2025-04-25 Joseph H. P. Jackson , Hooshyar Assadullahi , Andrew D. Gow , Kazuya Koyama , Vincent Vennin , David Wands

We study an inflationary scenario with a two-form field to which an inflaton couples non-trivially. First, we show that anisotropic inflation can be realized as an attractor solution and that the two-form hair remains during inflation. A…

宇宙学与河外天体物理 · 物理学 2013-05-16 Junko Ohashi , Jiro Soda , Shinji Tsujikawa