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Related papers: Stability of multi-field cosmological solutions

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The consistency relation for the 3-point function of the CMB is a very powerful observational signature which is believed to be true for every inflationary model in which there is only one dynamical degree of freedom. Its importance relies…

High Energy Physics - Theory · Physics 2009-06-11 Clifford Cheung , A. Liam Fitzpatrick , Jared Kaplan , Leonardo Senatore

We study constant roll inflation systematically. This is a regime, in which the slow roll approximation can be violated. It has long been thought that this approximation is necessary for agreement with observations. However, recently it was…

High Energy Physics - Theory · Physics 2018-02-21 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana

Using $\delta N$ formalism, in the context of a generic multi-field inflation driven on a non-flat field space background, we revisit the analytic expressions of the various cosmological observables such as scalar/tensor power spectra,…

High Energy Physics - Theory · Physics 2014-10-07 Xin Gao , Tianjun Li , Pramod Shukla

We consider the minimally coupled 3-form field which has been considered as a candidate to realize inflation. We have studied the conditions to avoid ghosts and Laplacian instabilities and found that some classes of potentials, e.g. the…

High Energy Physics - Phenomenology · Physics 2012-07-18 Antonio De Felice , Khamphee Karwan , Pitayuth Wongjun

We revisit two-field hybrid inflation as an effective field theory for low-scale inflation with sub-Planckian scalar field ranges. We focus on a prototype model by Stewart because it allows for a red spectral tilt, which still fits the…

High Energy Physics - Theory · Physics 2021-03-17 Nemanja Kaloper , Morgane König , Albion Lawrence , James H. C. Scargill

We present our recent work on brane world models with a non-minimally coupled scalar field. In [9] we examined the stability of these models against scalar field perturbations and we discussed possible physical implications, while in [10]…

High Energy Physics - Theory · Physics 2007-05-23 K. Farakos , P. Pasipoularides

This article studies a class of semilinear scalar field equations on the real line with variable coefficients in the linear terms. These coefficients are not necessarily small perturbations of a constant. We prove that under suitable…

Analysis of PDEs · Mathematics 2023-08-15 Mashael Alammari , Stanley Snelson

The system of N particles moving on a circle and interacting via a global repulsive cosine interaction is well known to display spatially inhomogeneous structures of extraordinary stability starting from certain low energy initial…

Statistical Mechanics · Physics 2009-11-07 F. Leyvraz , M. -C. Firpo , S. Ruffo

The single-field consistency conditions and the local ansatz have played separate but important roles in characterizing the non-Gaussian signatures of single- and multifield inflation respectively. We explore the precise relationship…

High Energy Physics - Theory · Physics 2017-03-08 Roland de Putter , Olivier Doré , Daniel Green , Joel Meyers

We investigate the possibility of inflation with models of antisymmetric tensor field having minimal and nonminimal couplings to gravity. Although the minimal model does not support inflation, the nonminimal models, through the introduction…

General Relativity and Quantum Cosmology · Physics 2018-11-02 Sandeep Aashish , Abhilash Padhy , Sukanta Panda , Arun Rana

We explore the nonlinear dynamics of classical field theories containing ghost degrees of freedom, focusing on two coupled scalar fields with opposite kinetic terms in (1+1) and (2+1) dimensional Minkowski spacetime. Using a spacetime…

Dynamical Systems · Mathematics 2026-05-13 Jax Wysong , Samara Overvaag , Hyun Lim , Jung-Han Kimn

We consider inhomogeneous preheating in multi-field models of cosmological perturbation. After preheating, two fields are trapped at an enhanced symmetric point. One field is an oscillating field and the other is a light field that plays an…

High Energy Physics - Phenomenology · Physics 2007-10-18 Tomohiro Matsuda

The robustness of multi-field inflation to the physics of reheating is investigated. In order to carry out this study, reheating is described in detail by means of a formalism which tracks the evolution of scalar fields and perfect fluids…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Jerome Martin , Lucas Pinol

We examine the scenario of non-minimally coupled relativistic fluid and $k$-essence scalar field in a flat Friedmann-Lemaitre-Robertson-Walker universe. By adding a non-minimal coupling term in the Lagrangian level, we study the variation…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Anirban Chatterjee , Saddam Hussain , Kaushik Bhattacharya

We investigate two-dimensional neural fields as a model of the dynamics of macroscopic activations in a cortex-like neural system. While the one-dimensional case has been treated comprehensively by Amari 30 years ago, two-dimensional neural…

Adaptation and Self-Organizing Systems · Physics 2007-06-07 K. Doubrovinski , M. Herrmann

We investigate the dynamics of the chameleonic Generalised Brans--Dicke model in flat FRW cosmology. In a new approach, a framework to study stability and attractor solutions in the phase space is developed for the model by simultaneously…

General Relativity and Quantum Cosmology · Physics 2015-03-13 H. Farajollahi , A. Salehi

We show that multi-field inflationary models with negligible turning in field space during inflation can lead to an effective sourcing of adiabatic from entropic perturbations {\it after} the end of inflation. We illustrate this general…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Rodrigo Gonzalez Quaglia , Martino Michelotti , Diederik Roest , John Joseph Carrasco , Renata Kallosh , Andrei Linde

We apply phase space analysis to inhomogeneous cosmological model given by Lema\^itre-Tolman model. We describe some general conditions required to interpret the model stable enough and, in the present paper, apply them to two special…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-28 P. Sundell , I. Vilja

We investigate the dynamics of the recently proposed model of assisted inflation. In this model an arbitrary number of scalar fields with exponential potentials evolve towards an inflationary scaling solution, even if each of the individual…

Astrophysics · Physics 2016-08-25 Karim A. Malik , David Wands

We compute the amplitude of the non-Gaussianities in inflationary models with multiple, uncoupled scalar fields. This calculation thus applies to all models of assisted inflation, including N-flation, where inflation is driven by multiple…

Astrophysics · Physics 2010-10-27 Thorsten Battefeld , Richard Easther