Observational constraint on the fourth derivative of the inflaton potential

Oct, 2002
3 pages
Published in:
  • Mon.Not.Roy.Astron.Soc. 339 (2003) 212-214
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Abstract:
We consider the flow-equations for the 3 slow-roll parameters n_S (scalar spectral index), r (tensor to scalar ratio), and dn_S/dlnk (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_P^4(V''''/V) > -0.02.
  • inflation
  • inflaton: potential
  • cosmic background radiation
  • numerical calculations: interpretation of experiments