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The measurement of the tensor-to-scalar ratio $r$ shows a very powerful constraint to theoretical inflation models through the detection of B-mode. In this paper, we propose a single inflation model with infinity pows series potential…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-11 Chao-Jun Feng , Xin-Zhou Li

We propose a new approach to investigate inflation in a model-independent way, and in particular to elaborate the involved observables, through the introduction of the "scale factor potential". Through its use one can immediately determine…

General Relativity and Quantum Cosmology · Physics 2020-06-02 David Benisty , Eduardo I. Guendelman , Emmanuel N. Saridakis

We study a class of generalized inflation models in which the inflaton is coupled to the Ricci scalar by a general $f(\phi, R)$ term. The scalar power spectrum, the spectral index, the running of the spectral index, the tensor mode spectrum…

Astrophysics · Physics 2008-11-26 Bin Chen , Miao Li , Tower Wang , Yi Wang

We investigate expected constraints on the primordial tensor power spectrum from the future cosmic microwave background polarization experiment LiteBIRD as a test of multi-field inflation. We argue that the measurements of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-18 Ryusuke Jinno , Kazunori Kohri , Takeo Moroi , Tomo Takahashi , Masashi Hazumi

We investigate the cosmic inflation within a class of the scalar-tensor model with the scalar-dependent non-minimal kinetic couplings. The inflationary dynamical potential will be applied. Using the slow-roll approximation, we compute…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Feyzollah Younesizadeh , Davoud Kamani

We consider the running of the spectral index as a probe of both inflation itself, and of the overall evolution of the very early universe. Surveying a collection of simple single field inflationary models, we confirm that the magnitude of…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-18 Peter Adshead , Richard Easther , Jonathan Pritchard , Abraham Loeb

It is noted that inflation driven by a three form with arbitrary self coupling satisfies a consistency relation $n_S-1=2n_T$, between spectral indices of scalar and tensor cosmological perturbations. The standard consistency relation for…

Astrophysics · Physics 2007-05-23 Andrei Gruzinov

We investigate the possible implications of the measured value of the scalar tilt $n_s$ for the tensor-to-scalar ratio $r$ in slow-roll, single-field inflationary models. The measured value of the tilt satisfies $n_s -1\sim 1/N_*$, where…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-20 Paolo Creminelli , Sergei Dubovsky , Diana López Nacir , Marko Simonović , Gabriele Trevisan , Giovanni Villadoro , Matias Zaldarriaga

Popular wisdom suggests that measuring the tensor to scalar ratio $r$ on CMB scales is a "proof of inflation" since one generic prediction is a scale-invariant tensor spectrum while alternatives predict $r$ that is many orders of magnitude…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-15 Ido Ben-Dayan , Udaykrishna Thattarampilly

We study the mixed scalar-tensor two-point function in icosahedral inflation. Within the regime of validity of the effective field theory, this has to be perturbatively small; in particular, much smaller than the scalar spectrum. However,…

High Energy Physics - Theory · Physics 2021-05-05 Alberto Nicolis , Guanhao Sun

We discuss a new test of inflation from the harmonic pattern of peaks in the cosmic microwave background radiation angular power spectrum. By characterizing the features of alternate models and revealing signatures essentially unique to…

Astrophysics · Physics 2009-08-18 Wayne Hu , Martin White

We show that, for a given fixed value of the number of e-folds of the homogeneous solution, inflation succeeds with order unity inhomogeneities in the initial conditions above a characteristic value of the tensor-to-scalar ratio $r$. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-16 Panagiotis Giannadakis , Matthew Elley , Raphael Flauger , Eugene A. Lim

We present a consistent one-loop calculation for the inflationary tensor power spectrum in the presence of an excited spectator scalar field using the in-in formalism. We find that the super-horizon primordial power spectrum of the tensor…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-24 Atsuhisa Ota , Misao Sasaki , Yi Wang

There are large classes of inflationary models, particularly popular in the context of string theory and brane world approaches to inflation, in which the ratio of linearized tensor to scalar metric fluctuations is very small. In such…

Astrophysics · Physics 2008-11-26 P. Martineau , R. Brandenberger

We consider inflationary models with the inflaton coupled to the Gauss-Bonnet term assuming a special relation $\delta_1=2\lambda\epsilon_1$ between the two slow-roll parameters $\delta_1$ and $\epsilon_1$. For the slow-roll inflation, the…

General Relativity and Quantum Cosmology · Physics 2018-10-19 Zhu Yi , Yungui Gong , Mudassar Sabir

In conventional model independent approaches, the power spectrum of primordial perturbations is characterized by such free parameters as spectral index, its running, the running of running, and the tensor-to-scalar ratio. In this work we,…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Moslem Zarei

We investigate the consistency relation relating the squeezed limit of the bispectrum to the scalar spectral index in single field models of inflation. We give a simple integral formula for the bispectrum in the squeezed limit in terms of…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-27 Sébastien Renaux-Petel

Solid inflation can support a long period of anisotropic inflation. We calculate the statistical anisotropies in the scalar and tensor power spectra and their cross-correlation in anisotropic solid inflation. The tensor-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Mohammad Akhshik , Razieh Emami , Hassan Firouzjahi , Yi Wang

We revisit a class of simple single-field inflation models and demonstrate that they can readily produce a negligible tensor/scalar ratio $r$. Motivated by recent work suggesting the need to introduce higher order operators to stabilise…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-19 William J. Wolf

We examine cosmological inflation in a broad family of scalar-tensor models characterized by scalar-dependent non minimal kinetic couplings and Gauss-Bonnet terms. Using a slow roll-approximation, we compute in detail theoretical…

High Energy Physics - Theory · Physics 2026-05-21 A. Belhaj , H. Es-Sobbahi , M. Oualaid , E. Torrente-Lujan