CBR Anisotropy and the Running of the Scalar Spectral Index

Details CBR Anisotropy and the Running of the Scalar Spectral Index CBR Anisotropy and the Running of the Scalar Spectral Index

1995-04-20

arxiv.org/abs/astro-ph/9504071v2

Phys.Rev.D52:1739-1743,1995

Astronomy and Astrophysics

Astrophysics

Discussion of calculation clarified; error corrected which reduces estimated effect for chaotic inflation

Scientific paper

10.1103/PhysRevD.52.R1739

Accurate ($\lesssim 1\% $) predictions for the anisotropy of the Cosmic Background Radiation (CBR) are essential for using future high-resolution ($\lesssim 1^\circ$) CBR maps to test cosmological models. In many inflationary models the variation (``running'') of the spectral index of the spectrum of density perturbations is a significant effect and leads to changes of around 1\% to 10\% in the CBR power spectrum. We propose a general method for taking running into account which uses the derivative of the spectral index ($dn/d\ln k$). Conversely, high-resolution CBR maps may be able to determine $dn/d\ln k$, giving important information about the inflationary potential.

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