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We introduce a new class of models of chaotic inflation inspired by the superconformal approach to supergravity. This class of models allows a functional freedom of choice of the inflaton potential V = |f(\phi)|^2. The simplest model of…

High Energy Physics - Theory · Physics 2010-11-22 Renata Kallosh , Andrei Linde

Although inflationary models generically predict a flat spectrum of gravitational waves, we point out a general process that produces a sharply peaked spectrum of gravitational radiation. This process is generic for inflationary models with…

High Energy Physics - Phenomenology · Physics 2010-10-28 Anupam Mazumdar , Ian M. Shoemaker

The ultrarelativistic limit of the Kerr - Newman geometry is studied in detail. We find the gravitational shock wave background associated with this limit. We study the scattering of scalar fields in the gravitational shock wave geometries…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. O. Lousto , N. Sánchez

Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Lo\`{e}ve expansions with respect to the spherical harmonic functions and the angular power spectrum. The smoothness of the covariance is connected to the decay of…

Probability · Mathematics 2015-10-26 Annika Lang , Christoph Schwab

The energy and time scales during the inflationary stage of the universe calls for an out of equilibrium quantum field treatment. Moreover, the high energy densities involved make necessary the use of non-perturbative approaches as large N…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , S. P. Kumar

We revisit the notion of slow-roll in the context of general single-field inflation. As a generalization of slow-roll dynamics, we consider an inflaton $\phi$ in an attractor phase where the time derivative of $\phi$ is determined by a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Jinn-Ouk Gong , Misao Sasaki

Single field inflationary models are investigated within Palatini quadratic gravity represented by $R+\alpha R^2$ along with a non-minimal coupling of the form $f(\phi) R$ between the inflaton field $\phi$ and the gravity. The treatment is…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-15 Mahmoud AlHallak

Following Freivogel {\it et al} we consider inflation in a predictive (or `friendly') region of the landscape of string vacua, as modeled by Arkani-Hamed, Dimopoulos and Kachru. In such a region the dimensionful coefficients of…

Astrophysics · Physics 2009-11-11 John March-Russell , Francesco Riva

We investigate the cosmological model with the complex scalar self-interacting inflaton field non-minimally coupled to gravity. The different geometries of the Euclidean classically forbidden regions are represented. The instanton solutions…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Yu. Kamenshchik , I. M. Khalatnikov , A. V. Toporensky

Stochastic inflation is an effective theory describing the super-Hubble, coarse-grained, scalar fields driving inflation, by a set of Langevin equations. We previously highlighted the difficulty of deriving a theory of stochastic inflation…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 Lucas Pinol , Sébastien Renaux-Petel , Yuichiro Tada

Inflation near a maximum of the potential is studied when non-local derivative operators are included in the inflaton Lagrangian. Such terms can impose additional sources of friction on the field. For an arbitrary spacetime geometry, these…

High Energy Physics - Theory · Physics 2008-11-26 James E. Lidsey

A stochastic approach is implemented to address the problem of a marine structure exposed to water wave impacts. The focus is on (i) the average frequency of wave impacts, and (ii) the related probability distribution of impact kinematic…

Fluid Dynamics · Physics 2021-06-24 Romain Hascoët , Marc Prevosto , Nicolas Raillard , Nicolas Jacques , Alan Tassin

We study multiple fields inflation in diffusion dominated regime using stochastic $\delta N$ formalism. The fields are under pure Brownian motion in a dS background with boundaries in higher dimensional field space. This setup can be…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-04 Kosar Asadi , Amin Nassiri-Rad , Hassan Firouzjahi

The usual description of inflationary fluctuations uses the framework of quantum field theory (QFT) in curved spacetime, in which quantum fluctuations are superimposed on a classical background spacetime. Even for large fluctuations, such…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Sebastian F. Bramberger , Alice Di Tucci , Jean-Luc Lehners

We develop a stochastic approach to study scalar field fluctuations of the inflaton field in an early inflationary universe with a black-hole (BH), which is described by an effective 4D SdS metric. Considering a 5D Ricci-flat SdS static…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Luz Marina Reyes , Jose Edgar Madriz Aguilar , Mauricio Bellini

We propose that there may be a substantial stochastic gravitational wave background from particle origin, mainly from the gravitational three-body decay of the inflaton. The emitted gravitons could constitute a sizable contribution to dark…

High Energy Physics - Phenomenology · Physics 2024-10-30 Kazunori Nakayama , Yong Tang

Due to intra-field gravitational interactions, field configurations have a strong negative component to their energy density at the planckian and transplanckian scales, conceivably resulting in a sequestration of the transplanckian field…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Robert Brout

We investigate the stochastic gravitational wave (GW) spectrum resulting from graviton bremsstrahlung during inflationary reheating. We focus on an inflaton $\phi$ oscillating around a generic monomial potential $V(\phi) \propto \phi^n$,…

High Energy Physics - Phenomenology · Physics 2024-01-10 Nicolás Bernal , Simon Cléry , Yann Mambrini , Yong Xu

We show how the quantum to classical transition of the cosmological fluctuations produced during inflation can be described by means of the influence functional and the master equation. We split the inflaton field into the system-field…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Fernando C. Lombardo , Diana Lopez Nacir

We investigate the effects of large inhomogeneities in both the inflaton field and its momentum. We find that in general, large kinetic perturbations reduce the number of e-folds of inflation. In particular, we observe that inflationary…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-13 Matthew Elley , Josu C. Aurrekoetxea , Katy Clough , Raphael Flauger , Panagiotis Giannadakis , Eugene A. Lim