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Related papers: Running Spectral Index from Inflation with Modulat…

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In this work we address the possibility of having a positive running of the spectral index in inflationary theories. The recent ACT data indicate mildly that the running of the spectral index might be positive, and several other physical…

General Relativity and Quantum Cosmology · Physics 2026-05-19 S. D. Odintsov , V. K. Oikonomou

In this paper we operate under the assumption that no tensors from inflation will be measured in the future by the dedicated experiments and argue that, while for single-field slow-roll models of inflation the running of the spectral index…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Matteo Biagetti , Alex Kehagias , Antonio Riotto

If the beginning of inflation is defined at the moment when the vacuum energy of the inflaton starts to dominate, the energy density of the other fields at that moment is (by definition) comparable to the inflaton. Although the fraction…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-10 Kazunori Kohri , Chia-Min Lin , Tomohiro Matsuda

(abridged) We explore the statistical properties of non-linear cosmic structures in a flat $\Lambda$CDM cosmology in which the index of the primordial power spectrum for scalar perturbations is allowed to depend on the scale. Within the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 C. Fedeli , F. Finelli , L. Moscardini

Recent observations suggest that the spectral index of the primordial perturbations is very close to unity, as expected in models of slow roll inflation. It is still possible for such models to produce spectra which are scale dependent. We…

Astrophysics · Physics 2009-09-02 Scott Dodelson , Ewan Stewart

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

Density perturbations generated from inflation almost always have a spectral index n_s which runs (varies with the wavelength). We explore a running spectral index scenario in which the scalar spectral index runs from blue (n_s >1) on large…

Astrophysics · Physics 2009-11-13 Daniel J. H. Chung , Antonio Enea Romano

Current data from the Planck satellite and the BICEP2 telescope favor, at around the $2 \sigma$ level, negative running of the spectral index of curvature perturbations from inflation. We show that for negative running $\alpha < 0$, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 William H. Kinney , Katherine Freese

We study the off-equilibrium effects of inflaton on the dynamics of primordial perturbations in the O(N) model. A self-consistent off-equilibrium formalism is employed to investigate the evolution of the inflationary background field and…

Astrophysics · Physics 2007-05-23 Da-Shin Lee , Li-Zhi Fang , Wolung Lee , Yeo-Yie Charng

If the inflaton sector is described by softly broken supersymmetry, and the inflaton has unsuppressed couplings, the inflaton mass will run strongly with scale. Four types of model are possible. The prediction for the spectral index…

High Energy Physics - Phenomenology · Physics 2009-10-31 Laura Covi , David H. Lyth

We study the cosmological implications of the space-space noncommutative inflation and present formulae for the spectral index and its running. Our results show that deviations from the spectral index and its running depend on the…

Astrophysics · Physics 2009-11-10 S. A. Alavi , Forough Nasseri

A spectral index n_s < 0.95 appears to be a generic prediction of racetrack inflation models. Reducing a general racetrack model to a single-field inflation model with a simple potential, we obtain an analytic expression for the spectral…

High Energy Physics - Theory · Physics 2008-11-26 Ph. Brax , Stephen C. Davis , M. Postma

Planck favours a negative running of the spectral index, with the likelihood being dominated by low multipoles $l \lesssim 50$ and no preference for running at higher $l$. A negative spectral index is also necessary for the 2-$\sigma$…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 John McDonald

In single field slow-roll inflation, one expects that the spectral index $n_s -1$ is first order in slow-roll parameters. Similarly, its running $\alpha_s = dn_s/d \log k$ and the running of the running $\beta_s = d\alpha_s/d \log k$ are…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-03 Carsten van de Bruck , Chris Longden

We compute the running of the scalar spectral index in general multi-field slow-roll inflation. By incorporating explicit momentum dependence at the moment of horizon crossing, we can find the running straightforwardly. At the same time, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Jinn-Ouk Gong

Based on solutions of the Stewart-Lyth inverse problem it is argued that in the CMB data analysis the parametrization of the primordial spectra from inflation must include the `running' of both, scalar and tensorial, spectral indices if…

Astrophysics · Physics 2007-05-23 C. A. Terrero-Escalante

Inflection point inflation generically includes a deviation from slow-roll when the inflaton approaches the inflection point. Such deviations are shown to be generated by transitions between singular trajectories. The effects on the power…

High Energy Physics - Theory · Physics 2013-07-22 Sean Downes , Bhaskar Dutta

Very recent CMB data of WMAP offers an opportunity to test inflation models, in particular, the running of spectral index is quite new and can be used to rule out some models. We show that an noncommutative spacetime inflation model gives a…

High Energy Physics - Theory · Physics 2009-11-10 Qing Guo Huang , Miao Li

Recent fits of cosmological parameters by the first year Wilkinson Microwave Anisotropy Probe (WMAP) measurement seem to favor a primordial scalar spectrum with a large varying index from blue to red. We use the inflationary flow equations…

Astrophysics · Physics 2009-11-10 Chiyi Chen , Bo Feng , Xiulian Wang , Zhaoyu Yang

We consider the observational constraints on the running-mass inflationary model, and in particular on the scale-dependence of the spectral index, from the new Cosmic Microwave Background (CMB) anisotropy measurements performed by WMAP and…

Astrophysics · Physics 2009-11-10 Laura Covi , David H. Lyth , Alessandro Melchiorri , Carolina J. Odman