Approximate consistency condition from a running spectral index in slow-roll inflationary models
- Department of Physics, University of Wisconsin, Madison, Wisconsin 53706 (United States)
Density perturbations generated from inflation almost always have a spectral index n{sub s} which runs (varies with the wavelength). We explore a running spectral index scenario in which the scalar spectral index runs from blue (n{sub s}>1) on large length scales to red (n{sub s}<1) on short length scales. Specifically, we look for a correlation between the length scale at which n{sub s}-1=0 and the length scale at which tensor to scalar ratio T/S reaches a minimum for single field slow-roll inflationary models. By computing the distribution of length scale ratios, we conclude that there indeed is a new approximate consistency condition that is characteristic of running spectral index scenarios that run from blue to red. Specifically, with strong running, we expect 96% of the slow-roll models to have the two length scales to be within a factor of 2, with the length scale at which the tensor to scalar ratio reaching a minimum longer than the wavelength at which n{sub s}-1=0.
- OSTI ID:
- 20774674
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 10; Other Information: DOI: 10.1103/PhysRevD.73.103510; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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