Implications of a Running Spectral Index for Slow Roll Inflation

Details Implications of a Running Spectral Index for Slow Roll Inflation Implications of a Running Spectral Index for Slow Roll Inflation

2006-04-10

arxiv.org/abs/astro-ph/0604214v2

JCAP 0609:010,2006

Astronomy and Astrophysics

Astrophysics

4 pages; v2 Refs added, some clarifications in discussion, minor typos fixed

Scientific paper

10.1088/1475-7516/2006/09/010

We analyze the weak (2 sigma) evidence for a running spectral index seen in the three-year WMAP dataset and its implications for single field, slow roll inflation. We assume that the running is comparable to the central value found from the WMAP data analysis, and use the Hubble Slow Roll formalism to follow the evolution of the slow roll parameters. For all parameter choices consistent with a large, negative running, single field, slow roll inflation lasts less than 30 efolds after CMB scales leave the horizon. Thus, a definitive observation of a large negative running would imply that any inflationary phase requires multiple fields or the breakdown of slow roll. Alternatively, if single field, slow roll inflation is sources the primordial fluctuations, we can expect the observed running to move much closer to zero as the CMB is measured more accurately at small angular scales.

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