Running of the Scalar Spectral Index from Inflationary Models

Details Running of the Scalar Spectral Index from Inflationary Models Running of the Scalar Spectral Index from Inflationary Models

2003-05-12

arxiv.org/abs/astro-ph/0305193v2

Phys.Rev. D68 (2003) 063501

Astronomy and Astrophysics

Astrophysics

39 pages, 4 figures, references added

Scientific paper

10.1103/PhysRevD.68.063501

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.

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