Non-Gaussianity Consistency Relation for Multi-field Inflation

Details Non-Gaussianity Consistency Relation for Multi-field Inflation Non-Gaussianity Consistency Relation for Multi-field Inflation

2011-01-19

arxiv.org/abs/1101.3636v2

Phys.Rev.Lett.106:251301,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages. Accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.106.251301

While detection of the "local form" bispectrum of primordial perturbations would rule out all single-field inflation models, multi-field models would still be allowed. We show that multi-field models described by the $\delta N$ formalism obey an inequality between $f_{\rm NL}$ and one of the local-form {\it trispectrum} amplitudes, $\tau_{\rm NL}$, such that $\tau_{\rm NL}>\frac12(\frac65f_{\rm NL})^2$ with a possible logarithmic scale dependence, provided that 2-loop terms are small. Detection of a violation of this inequality would rule out most of multi-field models, challenging inflation as a mechanism for generating the primoridal perturbations.

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