Open AccessObservational constraint on the fourth derivative of the inflaton potential
Author(s) -
Caprini Chiara,
Hansen Steen H.,
Kunz Martin
Publication year - 2003
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2003.06164.x
Subject(s) - physics , inflaton , spectral index , cosmic microwave background , scalar (mathematics) , cosmic background radiation , constraint (computer aided design) , derivative (finance) , mathematical physics , time derivative , upper and lower bounds , spectral line , classical mechanics , theoretical physics , inflation (cosmology) , mathematical analysis , quantum mechanics , geometry , mathematics , anisotropy , financial economics , economics
We consider the flow equations for the three slow‐roll parameters n S (scalar spectral index), r (tensor‐to‐scalar ratio), and d n S /d ln k (running of the spectral index). We show that the combination of these flow equations with the observational bounds from cosmic microwave background and large‐scale structure allows one to put a lower bound on the fourth derivative of the inflationary potential, M 4 P ( V ″/ V ) > − 0.02 .