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The amplitude and spectrum of the scalar and tensor perturbations depend upon the shape of the inflationary potential in the small interval where the scalar field responsible for inflation was between about 46 and 54 e-folds before the end…

天体物理学 · 物理学 2008-11-26 M. S. Turner

In a series of recent papers Kallosh, Linde, and collaborators have provided a unified description of single-field inflation with several types of potentials, ranging from power law to supergravity, in terms of just one parameter $\alpha$.…

高能物理 - 理论 · 物理学 2016-02-03 Massimiliano Rinaldi , Luciano Vanzo , Sergio Zerbini , Giovanni Venturi

Quantum fast-roll initial conditions for the inflaton which are different from the classical fast-roll conditions and from the quantum slow-roll conditions can lead to inflation that last long enough. These quantum fast-roll initial…

天体物理学 · 物理学 2009-01-01 F. J. Cao , H. J. de Vega , N. G. Sanchez

We investigate models of `intermediate' inflation, where the scale factor $a(t)$ grows as $a(t) = \exp (A t^f)$, $0 < f < 1$, $A$ constant. These solutions arise as exact analytic solutions for a given class of potentials for the inflaton…

天体物理学 · 物理学 2009-12-30 John D Barrow , Andrew R Liddle

In Ref. [1], it was claimed that in the spatially flat cosmological case there exists a unique conserved measure (up to normalization) on the $(\phi,\dot{\phi})$ phase space for scalar field with $m^2\phi^2$ potential by finding a unique…

广义相对论与量子宇宙学 · 物理学 2025-10-31 Yu Han , Long Chen

We take a pragmatic, model independent approach to single field slow-roll inflation by imposing conditions to the slow-roll parameter $\epsilon$ and its derivative $\epsilon^{\prime }.$ To accommodate the recent (large) values of $r$…

宇宙学与河外天体物理 · 物理学 2014-05-26 Gabriel German

Many, if not most, inflationary models predict the power-law index of the spectrum of density perturbations is close to one, though not precisely equal to one, |n-1| \sim O(0.1), implying that the spectrum of density perturbations is…

天体物理学 · 物理学 2009-10-31 Dragan Huterer , Michael S. Turner

We present a numerical integration of the cosmological scalar perturbation equations in warm inflation. The initial conditions are provided by a discussion of the thermal fluctuations of an inflaton field and thermal radiation using a…

天体物理学 · 物理学 2009-11-07 Lisa M. H. Hall , Ian G. Moss , Arjun Berera

The large tensor spectrum recently observed by the BICEP2 Collaboration requires a super-Planckian field variation of the inflaton in the single-field inflationary scenario. The required slow-roll parameter \epsilon \approx 0.01 would…

高能物理 - 理论 · 物理学 2014-07-25 Ki-Young Choi , Bumseok Kyae

BICEP2 has observed a primordial gravitational wave corresponding to the tensor-to-scalar ratio of 0.16. It seems to require a super-Planckian inflationary model. In this paper, we propose a double hybrid inflation model, where the inflaton…

高能物理 - 唯象学 · 物理学 2014-07-25 Ki-Young Choi , Bumseok Kyae

We give a detailed presentation of a recently proposed mechanism of generating the energy scale of inflation by loop effects in quantum cosmology. We discuss the quantum origin of the early inflationary Universe from the no-boundary and…

广义相对论与量子宇宙学 · 物理学 2011-08-17 A. O. Barvinsky , A. Yu. Kamenshchik , I. V. Mishakov

We study the amplitude and spectral tilt of density perturbations in the simplest hybrid inflation models. We give an exact expression for the amplitude of quantum fluctuations on all scales in the limit where we can neglect the…

天体物理学 · 物理学 2009-06-19 Juan Garcia-Bellido , David Wands

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…

宇宙学与河外天体物理 · 物理学 2015-06-17 Jinn-Ouk Gong , Misao Sasaki

We investigate the dynamics of the perturbations of the inflaton scalar field oscillating around a minimum of its effective potential in an expanding universe. With the assumption of smallness of the ratio of the Hubble parameter to the…

广义相对论与量子宇宙学 · 物理学 2019-01-30 Vladimir A. Koutvitsky , Eugene M. Maslov

We consider a more general initial condition satisfying the minimal uncertainty relationship. We calculate the power spectrum of a simple model in inflationary cosmology. The results depend on perturbations generated below a fundamental…

高能物理 - 理论 · 物理学 2009-11-10 Ke Ke

We compute the growth of the mean square of quantum fluctuations of test fields with small effective mass during a slowly changing, nearly de Sitter stage which took place in different inflationary models. We consider a minimally coupled…

高能物理 - 理论 · 物理学 2010-10-11 F. Finelli , G. Marozzi , A. A. Starobinsky , G. P. Vacca , G. Venturi

We consider slow-roll inflation in the context of a modified Brans-Dicke dilaton gravity. From a two self-interacting potentials $V(\phi)$, we reproduce a Starobinsky-like potential and, commonly in syperstring models, an exponential tail…

广义相对论与量子宇宙学 · 物理学 2024-11-11 Abraão J. S. Capistrano , Gilberto M. Kremer

We introduce a simple string model of inflation, in which the inflaton field can take trans-Planckian values while driving a period of slow-roll inflation. This leads naturally to a realisation of large field inflation, inasmuch as the…

高能物理 - 理论 · 物理学 2015-03-13 M. Cicoli , C. P. Burgess , F. Quevedo

We take a pragmatic, model independent approach to single field slow-roll canonical inflation by imposing conditions, not on the potential, but on the slow-roll parameter $\epsilon(\phi)$ and its derivatives $\epsilon^{\prime }(\phi)$ and…

宇宙学与河外天体物理 · 物理学 2016-08-17 Gabriel German , Alfredo Herrera-Aguilar , Juan Carlos Hidalgo , Roberto A. Sussman

We study the implications of deformed quantum algebras for the generation of primordial perturbations from slow-roll inflation. Specifically, we assume that the quantum commutator of the inflaton's amplitude and momentum in Fourier space…

宇宙学与河外天体物理 · 物理学 2015-06-17 Andrew C. Day , Iain A. Brown , Sanjeev S. Seahra