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During inflation explicit perturbative computations of quantum field theories which contain massless, non-conformal fields exhibit secular effects that grow as powers of the logarithm of the inflationary scale factor. Starobinski\u{\i}'s…

Astrophysics · Physics 2009-11-10 R. P. Woodard

Over the last few years, it was realised that non-canonical scalar fields can lead to the accelerated expansion in the early universe. The primordial spectrum in these scenarios not only shows near scale-invariance consistent with CMB…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-05 Corrado Appignani , Roberto Casadio , S. Shankaranarayanan

We consider a class of multi-component hybrid inflation models whose evolution may be analytically solved under the slow-roll approximation. We call it multi-brid inflation (or $n$-brid inflation where $n$ stands for the number of inflaton…

Astrophysics · Physics 2009-10-09 Misao Sasaki

Stochastic effects in multi-field inflationary scenarios are investigated. A hierarchy of diffusion equations is derived, the solutions of which yield moments of the numbers of inflationary $e$-folds. Solving the resulting partial…

High Energy Physics - Theory · Physics 2016-08-24 Hooshyar Assadullahi , Hassan Firouzjahi , Mahdiyar Noorbala , Vincent Vennin , David Wands

We consider second order inflationary perturbations in the case of two scalar fields, $\sigma$ and the inflaton $\phi$. We derive an expression for the non-Gaussianity of perturbations and apply the results to hybrid inflation. We isolate…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kari Enqvist , Antti Vaihkonen

Models of cosmic inflation suggest that our universe underwent an early phase of accelerated expansion, driven by the dynamics of one or more scalar fields. Inflationary models make specific, quantitative predictions for several observable…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-10 David I. Kaiser

This article provides an introductory review of inflation and cosmological perturbation theory. I begin by motivating the need for an epoch of inflation during the early stages of the radiation dominated era, and describe how inflation is…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-08 L. Sriramkumar

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

Following an elegant approach that merge the effects of the stringy spacetime uncertainty relation into primordial perturbations suggested by Brandenberger and Ho, we show the mode equation up to the first order of non-commutative…

High Energy Physics - Theory · Physics 2009-11-10 Dao-jun Liu , Xin-zhou Li

We consider the robustness of small-field inflation in the presence of scalar field inhomogeneities. Previous numerical work has shown that if the scalar potential is flat only over a narrow interval, such as in commonly considered…

General Relativity and Quantum Cosmology · Physics 2018-09-05 M. C. David Marsh , John D. Barrow , Chandrima Ganguly

We present new exact cosmological inhomogeneous solutions for gravity coupled to a scalar field in a general framework specified by the parameter $\lambda$. The equations of motion (and consequently the solutions) in this framework…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. E. Perez Bergliaffa , K. E. Hibberd

Recent analyses of cosmic microwave background surveys have revealed hints that there may be a non-trivial running of the running of the spectral index. If future experiments were to confirm these hints, it would prove a powerful…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-09 Chris Longden

We study both the background evolution and cosmological perturbations of anisotropic inflationary models supported by coupled scalar and vector fields. The models we study preserve the U(1) gauge symmetry associated with the vector field,…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-29 Burak Himmetoglu

We consider the response of a multicomponent body to $n$ fields, such as electric fields, magnetic fields, temperature gradients, concentration gradients, etc., where each component, which is possibly anisotropic, may cross couple the…

Materials Science · Physics 2016-02-23 Mordehai Milgrom , Graeme W. Milton

This paper develops a general approach to nonlinear circuit modelling aimed at preserving the intrinsic symmetry of electrical circuits when formulating reduced models. The goal is to provide a framework accommodating such reductions in a…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Ricardo Riaza

We study how the initial inhomogeneities of the universe affect the onset of inflation in the closed universe. We consider the model of a chaotic inflation which is driven by a massive scalar field. In order to construct an inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Osamu Iguchi , Hideki Ishihara

We consider the instabilities of field perturbations around a homogeneous background color-electric and/or -magnetic field in SU(2) pure gauge theory. We investigate a number of distinct cases of background magnetic and electric fields, and…

High Energy Physics - Phenomenology · Physics 2024-03-06 Divyarani C. Geetha , Anders Tranberg

Using a long wavelength iteration scheme to solve Einstein's equations near the Big-Bang singularity of a universe driven by a massive scalar field, we find how big initial quasi-isotropic inhomogeneities can be before they can prevent…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Nathalie Deruelle , Dalia S. Goldwirth

Mechanisms for the generation of primordial non-Gaussian metric fluctuations in the context of multiple-field inflation are reviewed. As long as kinetic terms remain canonical, it appears that nonlinear couplings inducing non-gaussianities…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Francis Bernardeau

In our previous paper, we have proposed a new algorithm to calculate the power spectrum of the curvature perturbations generated in inflationary universe with use of the stochastic approach. Since this algorithm does not need the…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-15 Tomohiro Fujita , Masahiro Kawasaki , Yuichiro Tada