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Related papers: The Lyth Bound of Inflation with a Tilt

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We derive an extended version of the well-known Lyth Bound on the total variation of the inflaton field, incorporating higher order corrections in slow roll. We connect the field variation $\Delta\phi$ to both the spectral index of scalar…

Astrophysics · Physics 2009-11-11 Richard Easther , William H. Kinney , Brian A. Powell

We explore the consequences of a detection of primordial tensor fluctuations for general single-field models of inflation. Using the effective theory of inflation, we propose a generalization of the Lyth bound. Our bound applies to all…

High Energy Physics - Theory · Physics 2015-06-03 Daniel Baumann , Daniel Green

The BICEP2 observation of a large tensor-to-scalar ratio, $r = 0.20^{+0.07}_{-0.05}$, implies that the inflaton $\phi$ in single-field inflation models must satisfy $\phi \sim 10M_{Pl}$ in order to produce sufficient inflation. This is a…

High Energy Physics - Phenomenology · Physics 2015-06-19 John McDonald

We investigate the Lyth relationship between the tensor-scalar ratio, r, and the variation of the inflaton field, Delta phi, over the course of inflation. For inflationary models that produce at least 55 e-folds of inflation, there is a…

Astrophysics · Physics 2009-11-10 George Efstathiou , Katherine J. Mack

Imposing that the excursion distance of inflaton in field space during inflation be less than the Planck scale, we derive an upper bound on the tensor-to-scalar ratio at the CMB scales, i.e. $r_{*,max}$, in the general canonical…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-01 Qing-Guo Huang

To reconcile the BICEP2 measurement on the tensor-to-scalar ratio $r$ with Planck constraint, a large negative running of scalar spectral index $n_s$ is needed. So the inflationary observable such as $n_s$ should be expanded at least to the…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Qing Gao , Yungui Gong , Tianjun Li

In this paper we provide a new expression for the variation of the inflaton field $\Delta\phi$ during the horizon crossing epoch in the context of single field slow roll inflationary models. Such an expression represents a generalization of…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-02 Alessandro Di Marco

We study to what extent the spectral index $n_s$ and the tensor-to-scalar ratio $r$ determine the field excursion $\Delta\phi$ during inflation. We analyse the possible degeneracy of $\Delta \phi$ by comparing three broad classes of…

High Energy Physics - Theory · Physics 2014-09-08 Juan Garcia-Bellido , Diederik Roest , Marco Scalisi , Ivonne Zavala

In this paper we provide an accurate bound on primordial gravitational waves, i.e. tensor-to-scalar ratio $(r)$ for a general class of single-field models of inflation where inflation occurs always below the Planck scale, and the field…

High Energy Physics - Phenomenology · Physics 2014-04-03 Sayantan Choudhury , Anupam Mazumdar

According to the famous Lyth bound, one can confirm large field inflation by finding tensor modes with sufficiently large tensor-to-scalar ratio $r$. Here we will try to answer two related questions: Is it possible to rule out all large…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Andrei Linde

We study how both the swampland distance conjecture and the Lyth bound affect the parameter space of multi-field models of inflation. A generic feature of multi-field inflation is that the geodesic distance…

High Energy Physics - Theory · Physics 2020-02-12 Rafael Bravo , Gonzalo A. Palma , Simon Riquelme

We discuss a universal bound on any excitation of heavy fields during inflation: the ratio of the heavy field's energy density to the one driving inflation must be less than the maximally allowed relative amplitude of oscillations in the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-19 Thorsten Battefeld , R. C. Freitas

Warm inflation is, as of today, one of the best motivated mechanisms for explaining an early inflationary period. In this paper, we derive and analyze the current bounds on warm inflation with a monomial potential $U\propto \phi^p$, using…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-17 Luca Visinelli

In this PhD thesis, we investigate generic features of inflation which are strictly related to fundamental aspects of UV-physics scenarios, such as string theory or supergravity. After a short introduction to standard and inflationary…

High Energy Physics - Theory · Physics 2016-07-06 Marco Scalisi

We investigate the extent to which the Swampland Conjecture can be employed to constrain large-field inflationary models from the perspective of quantum gravity consistency. In particular, we focus on the Swampland Distance Conjecture,…

High Energy Physics - Theory · Physics 2025-11-07 Yuma S. Furuta , Yuta Hamada , Kazunori Kohri

We derive the general formulae for the the scalar and tensor spectral tilts to the second order for the inflationary models with non-minimally derivative coupling without taking the high friction limit. The non-minimally kinetic coupling to…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Nan Yang , Qin Fei , Qing Gao , Yungui Gong

The values of, and connection between, the cosmological observables of the primordial power spectrum tilt $n_s$ and the inflationary tensor to scalar ratio $r$ are key guideposts to the physics of inflation. Universality classes can be…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-18 Eric V. Linder

We study the possible range of the tilt $n_s$ and the tensor-to-scalar ratio $r$ in multifield versions of a class of inflationary models from string theory. We show that $r$ is the same between the single field models and multifield models…

High Energy Physics - Theory · Physics 2014-05-07 Danjie Wenren

We compute the tensor and scalar spectral index $n_t$, $n_s$, the tensor-to-scalar ratio $r$, the consistency relation $n_t/r$ in the general monomial multifield slow-roll inflation models with potentials $V \sim\sum_i\lambda_i…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-21 Zhong-Kai Guo

We investigate the inflationary implications of extensions of Poincare symmetry. The simplest constructions with local scale invariance lead to universal predictions: the spectral index is $n_s = 1-2/N$, in excellent agreement with Planck…

High Energy Physics - Theory · Physics 2015-07-15 Mehmet Ozkan , Diederik Roest
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