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Running of the Scalar Spectral Index from Inflationary Models

The scalar spectral index n is an important parameter describing the nature of primordial density perturbations. Recent data, including that from the WMAP satellite, shows some evidence that the index runs (changes as a function of the scale k at which it is measured) from n>1 (blue) on long scal...

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Detalles Bibliográficos
Autores principales: Chung, Daniel J.H., Shiu, Gary, Trodden, Mark
Lenguaje:eng
Publicado: 2003
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.68.063501
http://cds.cern.ch/record/621773
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author Chung, Daniel J.H.
Shiu, Gary
Trodden, Mark
author_facet Chung, Daniel J.H.
Shiu, Gary
Trodden, Mark
author_sort Chung, Daniel J.H.
collection CERN
description The scalar spectral index n is an important parameter describing the nature of primordial density perturbations. Recent data, including that from the WMAP satellite, shows some evidence that the index runs (changes as a function of the scale k at which it is measured) from n>1 (blue) on long scales to n<1 (red) on short scales. We investigate the extent to which inflationary models can accomodate such significant running of n. We present several methods for constructing large classes of potentials which yield a running spectral index. We show that within the slow-roll approximation, the fact that n-1 changes sign from blue to red forces the slope of the potential to reach a minimum at a similar field location. We also briefly survey the running of the index in a wider class of inflationary models, including a subset of those with non-minimial kinetic terms.
id cern-621773
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6217732023-03-14T20:26:43Zdoi:10.1103/PhysRevD.68.063501http://cds.cern.ch/record/621773engChung, Daniel J.H.Shiu, GaryTrodden, MarkRunning of the Scalar Spectral Index from Inflationary ModelsAstrophysics and AstronomyThe scalar spectral index n is an important parameter describing the nature of primordial density perturbations. Recent data, including that from the WMAP satellite, shows some evidence that the index runs (changes as a function of the scale k at which it is measured) from n>1 (blue) on long scales to n<1 (red) on short scales. We investigate the extent to which inflationary models can accomodate such significant running of n. We present several methods for constructing large classes of potentials which yield a running spectral index. We show that within the slow-roll approximation, the fact that n-1 changes sign from blue to red forces the slope of the potential to reach a minimum at a similar field location. We also briefly survey the running of the index in a wider class of inflationary models, including a subset of those with non-minimial kinetic terms.The scalar spectral index n is an important parameter describing the nature of primordial density perturbations. Recent data, including that from the WMAP satellite, shows some evidence that the index runs (changes as a function of the scale k at which it is measured) from n>1 (blue) on long scales to n<1 (red) on short scales. We investigate the extent to which inflationary models can accomodate such significant running of n. We present several methods for constructing large classes of potentials which yield a running spectral index. We show that within the slow-roll approximation, the fact that n-1 changes sign from blue to red forces the slope of the potential to reach a minimum at a similar field location. We also briefly survey the running of the index in a wider class of inflationary models, including a subset of those with non-minimial kinetic terms.astro-ph/0305193SU-GP-03-4-1MAD-TH-03-1CERN-TH-2003-104SU-GP-2003-4-1MAD-TH-2003-1CERN-TH-2003-104oai:cds.cern.ch:6217732003-05-12
spellingShingle Astrophysics and Astronomy
Chung, Daniel J.H.
Shiu, Gary
Trodden, Mark
Running of the Scalar Spectral Index from Inflationary Models
title Running of the Scalar Spectral Index from Inflationary Models
title_full Running of the Scalar Spectral Index from Inflationary Models
title_fullStr Running of the Scalar Spectral Index from Inflationary Models
title_full_unstemmed Running of the Scalar Spectral Index from Inflationary Models
title_short Running of the Scalar Spectral Index from Inflationary Models
title_sort running of the scalar spectral index from inflationary models
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1103/PhysRevD.68.063501
http://cds.cern.ch/record/621773
work_keys_str_mv AT chungdanieljh runningofthescalarspectralindexfrominflationarymodels
AT shiugary runningofthescalarspectralindexfrominflationarymodels
AT troddenmark runningofthescalarspectralindexfrominflationarymodels