{ "id": "1411.7104", "version": "v1", "published": "2014-11-26T04:21:03.000Z", "updated": "2014-11-26T04:21:03.000Z", "title": "Consistency Relations for Large Field Inflation: Non-minimal Coupling", "authors": [ "Takeshi Chiba", "Kazunori Kohri" ], "comment": "11 pages, 4 figures", "categories": [ "astro-ph.CO", "gr-qc" ], "abstract": "We derive the consistency relations for chaotic inflation model with a non-minimal coupling to gravity. For a quadratic or quartic potential in the limit of a small non-minimal coupling parameter $\\xi$, we give consistency relations among 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 quadratic or quartic potential. For 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 $r<0.1$.", "revisions": [ { "version": "v1", "updated": "2014-11-26T04:21:03.000Z" } ], "analyses": { "subjects": [ "E81" ], "keywords": [ "consistency relations", "large field inflation", "spectral index", "quartic potential", "chaotic inflation model" ], "tags": [ "journal article" ], "publication": { "doi": "10.1093/ptep/ptv007", "journal": "Progress of Theoretical and Experimental Physics", "year": 2015, "month": "Feb", "volume": 2015, "number": 2 }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1330256, "adsabs": "2015PTEP.2015b3E01C" } } }