Single field consistency relation for the 3-point function

Details Single field consistency relation for the 3-point function Single field consistency relation for the 3-point function

2004-07-02

arxiv.org/abs/astro-ph/0407059v2

JCAP 0410 (2004) 006

Astronomy and Astrophysics

Astrophysics

4 pages. v2: reference added, matches published version

Scientific paper

10.1088/1475-7516/2004/10/006

We point out the existence of a consistency relation involving the 3-point function of scalar perturbations which is valid in any inflationary model, independently of the inflaton Lagrangian under the assumption that the inflaton is the only dynamical field. The 3-point function in the limit in which one of the momenta is much smaller than the other two is fixed in terms of the power spectrum and its tilt. This relation, although very hard to verify experimentally, could be easily proved wrong by forecoming data, thus ruling out any scenario with a single dynamical field in a model independent way.

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