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Consistency Relations for Large Field Inflation: Non-minimal Coupling
- Source :
- PTEP 2015 (2015) 2, 023E01
- Publication Year :
- 2014
-
Abstract
- We derive the consistency relations for a chaotic inflation model with a non-minimal coupling to gravity. For a quadratic potential in the limit of a small non-minimal coupling parameter $\xi$ and for a quartic potential without assuming small $\xi$, we give the consistency relations among the spectral index $n_s$, the tensor-to-scalar ratio $r$ and the running of the spectral index $\alpha$. We find that unlike $r$, $\alpha$ is less sensitive to $\xi$. If $r<0.1$, then $\xi$ is constrained to $\xi<0$ and $\alpha$ is predicted to be $\alpha\simeq -8\times 10^{-4}$ for a quartic potential. For a general monomial potential, $\alpha$ is constrained in the range $-2.7\times 10^{-3}<\alpha< -6\times 10^{-4}$ as long as $|\xi|\leq 10^{-3}$ if $r<0.1$.<br />Comment: 11 pages, 4 figures, to appear in PTEP
Details
- Database :
- arXiv
- Journal :
- PTEP 2015 (2015) 2, 023E01
- Publication Type :
- Report
- Accession number :
- edsarx.1411.7104
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/ptep/ptv007