The Lyth Bound and the end of inflation

Easther, Richard; Kinney, William H.; Powell, Brian A.

doi:10.1088/1475-7516/2006/08/004

Cited by 62 publications

(74 citation statements)

References 53 publications

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“…The structure of V HI as a function of φ for φ = 1, r ± = 0.015, and the values of n employed in figure 1 is displayed in figure 2. The values of n, λ, and r ± , shown in this [77][78][79]. This fact, though, does not invalidate our scenario since the corresponding values of the initial inflaton φ, which is directly related to the superfields Φ andΦ appearing in the definition of our models in eqs.…”

Section: Numerical Resultsmentioning

confidence: 59%

Shift symmetry and Higgs inflation in supergravity with observable gravitational waves

Lazarides¹,

Pallis²

2015

J. High Energ. Phys.

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Abstract:We demonstrate how to realize within supergravity a novel chaotic-type inflationary scenario driven by the radial parts of a conjugate pair of Higgs superfields causing the spontaneous breaking of a grand unified gauge symmetry at a scale assuming the value of the supersymmetric grand unification scale. The superpotential is uniquely determined at the renormalizable level by the gauge symmetry and a continuous R symmetry. We select two types of Kähler potentials, which respect these symmetries as well as an approximate shift symmetry. In particular, they include in a logarithm a dominant shift-symmetric term proportional to a parameter c − together with a small term violating this symmetry and characterized by a parameter c + . In both cases, imposing a lower bound on c − , inflation can be attained with subplanckian values of the original inflaton, while the corresponding effective theory respects perturbative unitarity for r ± = c + /c − ≤ 1. These inflationary models do not lead to overproduction of cosmic defects, are largely independent of the one-loop radiative corrections and accommodate, for natural values of r ± , observable gravitational waves consistently with all the current observational data. The inflaton mass is mostly confined in the range (3.7 − 8.1) × 10 10 GeV.

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Section: Numerical Resultsmentioning

confidence: 59%

Shift symmetry and Higgs inflation in supergravity with observable gravitational waves

Lazarides¹,

Pallis²

2015

J. High Energ. Phys.

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“…An even stronger bound, which has been derived in [60] for quadratic hilltop potentials, is not compatible with the last equality and hence does not apply in our case. + [61] shows that also small-field models may face the same problem. models [23] the multi-inflaton description can often be reduced to an effective singleinflaton description, depending on the amount of symmetry of the multi brane setup.…”

Section: Slow-roll Inflation At [57]mentioning

confidence: 99%

Large gravitational waves and the Lyth bound in multi-brane inflation

Krause

2008

J. Cosmol. Astropart. Phys.

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Abstract. It is shown that multi M5-brane inflation in heterotic M-theory gives rise to a detectable gravitational wave power spectrum with tensor fraction r typically larger than the projected experimental sensitivity, r exp = 0.01. A measurable gravitational wave power spectrum entails a large inflationary energy scale and a superPlanckian inflaton variation. They present serious problems for particle theory model building resp. a reliable effective field theory description. These problems are eased or even absent in multi-brane inflation models and multi M5-brane inflation, in particular.

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“…Equation (3.60) implies a bound on the change of the value of the scalar field during the inflationary era, ∆φ > N 2ε min κ = N M P 2ε min . (3.61) This is a first form of the so-called Lyth bound [21][22][23][24], which we shall come back to below. Note also from Equation (3.50) that the number of e-folds is given by 62) where t * is the initial point of time of the slow roll era, and t f the final point of time which is usually defined by ε t f = 1.…”

Section: The Number Of E-foldsmentioning

confidence: 99%

“…Assuming that ε min in Equation (3.61) is equal to the value of ε at the slow roll period we can use Equation (4.4) to express the Lyth bound in terms of the scalar to-tensor ratio [23],…”

Section: The Lyth Boundmentioning

confidence: 99%

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

Grøn

2018

Universe

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I give a review of predictions of values of spectral parameters for a large number of inflationary models. The present review includes detailed deductions and information about the approximations that have been made, written in a style that is suitable for text book authors. The Planck data have the power of falsifying several models of inflation as shown in the present paper. Furthermore, they fix the beginning of the inflationary era to a time about 10 −36 s, and the typical energy of a particle at this point of time to 10 16 GeV, only a few orders of magnitude less than the Planck energy, and at least 12 orders of magnitude larger than the most energetic particle produced by CERN's particle accelerator, LHC. This is a phenomenological review with contents as given in the list below. It includes systematic presentations of the different types of slow roll parameters that have been in use, and also of the N-formalism.

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The Lyth Bound and the end of inflation

Cited by 62 publications

References 53 publications

Shift symmetry and Higgs inflation in supergravity with observable gravitational waves

Shift symmetry and Higgs inflation in supergravity with observable gravitational waves

Large gravitational waves and the Lyth bound in multi-brane inflation

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

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