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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

A sizeable tensor-to-scalar ratio, such as recently claimed by BICEP2, would imply a scale of inflation at the typical scale of supersymmetric grand unification. This could be an accident, or strong support for supersymmetric theories.…

High Energy Physics - Phenomenology · Physics 2015-06-19 Felix Brummer , Valerie Domcke , Veronica Sanz

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

Generically, the gravitational-wave or tensor-mode contribution to the primordial curvature spectrum of inflation is tiny if the field-range of the inflaton is much smaller than the Planck scale. We show that this pessimistic conclusion is…

High Energy Physics - Theory · Physics 2014-01-15 Arthur Hebecker , Sebastian C. Kraus , Alexander Westphal

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

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

A field kinetic coupling with the Einstein tensor leads to a gravitationally enhanced friction during inflation, by which even steep potentials with theoretically natural model parameters can drive cosmic acceleration. In the presence of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Shinji Tsujikawa

The methods of effective field theory are used to study generic theories of inflation with a single inflaton field. For scalar modes, the leading corrections to the ${\cal R}$ correlation function are found to be purely of the $k$-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Steven Weinberg

A new class of inflation models within the context of G-inflation is proposed, in which the standard model Higgs boson can act as an inflaton thanks to Galileon-like non-linear derivative interaction. The generated primordial density…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-05 Kohei Kamada , Tsutomu Kobayashi , Masahide Yamaguchi , Jun'ichi Yokoyama

In this paper, we explore a novel observational signature of gravitational corrections during slow-roll inflation. We study the coupling of the inflaton field to higher-curvature tensors in models with a minimal breaking of conformal…

High Energy Physics - Theory · Physics 2016-02-17 Daniel Baumann , Hayden Lee , Guilherme L. Pimentel

We propose a new class of inflation model, G-inflation, which has a Galileon-like nonlinear derivative interaction of the form $G(\phi, (\nabla\phi)^2)\Box\phi$ in the Lagrangian with the resultant equations of motion being of second order.…

High Energy Physics - Theory · Physics 2010-12-28 Tsutomu Kobayashi , Masahide Yamaguchi , Jun'ichi Yokoyama

We show that density perturbations seeded by the inflaton can be suppressed when having additional light degrees of freedom contributing to the production of perturbations. The inflaton fluctuations affect the light field dynamics by…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-08 Takeshi Kobayashi , Tomo Takahashi

We re-examine large scalar fields within effective field theory, in particular focussing on the issues raised by their use in inflationary models (as suggested by BICEP2 to obtain primordial tensor modes). We argue that when the large-field…

High Energy Physics - Theory · Physics 2015-03-18 C. P. Burgess , M. Cicoli , F. Quevedo , M. Williams

Generalized slow roll conditions and parameters are obtained for a general form of scalar-tensor theory (with no external sources), having arbitrary functions describing a nonminimal gravitational coupling F(\phi), a Kahler-like kinetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. R. Morris

The detection of primordial gravitational waves, or tensor perturbations, would be regarded as compelling evidence for inflation. The canonical measure of this is the ratio of tensor to scalar perturbations, r. For single-field slow-roll…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-09 Shaun Hotchkiss , Anupam Mazumdar , Seshadri Nadathur

We revisit the possibility of producing observable tensor modes through a continuous particle production process during inflation. Particularly, we focus on the multi-field realization of inflation where a spectator pseudo-scalar $\sigma$…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-03 Ogan Özsoy

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects. After renormalizing background quantities…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Adrian del Rio , Ruth Durrer , Subodh P. Patil

The linear and quadratic perturbations for a scalar-tensor model with non-minimal coupling to curvature, coupling to the Gauss-Bonnet invariant and non-minimal kinetic coupling to the Einstein tensor are developed. The quadratic action for…

General Relativity and Quantum Cosmology · Physics 2019-09-24 L. N. Granda , D. F. Jimenez

The simple $m^2\phi^2$ potential as an inflationary model is coming under increasing tension with limits on the tensor-to-scalar ratio $r$ and measurements of the scalar spectral index $n_s$. Cubic Galileon interactions in the context of…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-12 Héctor Ramírez , Samuel Passaglia , Hayato Motohashi , Wayne Hu , Olga Mena

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
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